Department of


Syllabus for

1 Semester  2019  Batch  
Paper Code 
Paper 
Hours Per Week 
Credits 
Marks 
MPH131  CLASSICAL MECHANICS  4  4  100 
MPH132  ANALOG AND DIGITAL CIRCUITS  4  4  100 
MPH133  QUANTUM MECHANICS  I  4  4  100 
MPH134  MATHEMATICAL PHYSICS  I  4  4  100 
MPH135  RESEARCH METHODOLOGY  2  2  50 
MPH151  GENERAL PHYSICS LAB  I  4  2  100 
MPH152  ELECTRONICS LAB  4  2  100 
2 Semester  2019  Batch  
Paper Code 
Paper 
Hours Per Week 
Credits 
Marks 
MPH231  STATISTICAL PHYSICS  4  04  100 
MPH232  ELECTRODYNAMICS  4  4  100 
MPH233  QUANTUM MECHANICS  II  4  4  100 
MPH234  MATHEMATICAL PHYSICS  II  4  4  100 
MPH235  RESEARCH TECHNIQUES AND TOOLS  2  2  50 
MPH251  GENERAL PHYSICS LAB  II  4  2  100 
MPH252  COMPUTATIONAL METHODS IN PHYSICS  4  2  100 
3 Semester  2018  Batch  
Paper Code 
Paper 
Hours Per Week 
Credits 
Marks 
MPH331  NUCLEAR AND PARTICLE PHYSICS  4  4  100 
MPH332  SOLID STATE PHYSICS  4  4  100 
MPH333  ATOMIC, MOLECULAR AND LASER PHYSICS  4  4  100 
MPH341A  ELEMENTS OF MATERIALS SCIENCE (SPECIAL  I)  4  4  100 
MPH341B  ELECTRONIC INSTRUMENTATION (SPECIAL  I)  4  4  100 
MPH341C  INTRODUCTION TO ASTRONOMY AND ASTROPHYSICS (SPECIAL  I)  4  4  100 
MPH351  GENERAL PHYSICS LAB  III  4  2  100 
MPH352A  MATERIAL SCIENCE LAB  I  4  2  100 
MPH352B  ELECTRONICS LAB  I  4  2  100 
MPH352C  ASTROPHYSICS LAB  I  4  2  100 
MPH381  SEMINAR  TEACHING TECHNOLOGY  2  1  50 
4 Semester  2018  Batch  
Paper Code 
Paper 
Hours Per Week 
Credits 
Marks 
MPH431  NONCONVENTIONAL ENERGY RESOURCES  4  4  100 
MPH432  SPECTROSCOPIC TECHNIQUES  4  4  100 
MPH441A  SYNTHESIS OF MATERIALS  4  4  100 
MPH441B  PHYSICS OF SEMICONDUCTOR DEVICES (SPECIALII)  4  4  100 
MPH441C  STELLAR ASTROPHYSICS  4  4  100 
MPH442A  CHARACTERIZATION OF MATERIALS  4  4  100 
MPH442B  ELECTRONIC COMMUNICATION  4  4  100 
MPH442C  GALACTIC ASTRONOMY AND COSMOLOGY  4  4  100 
MPH451A  MATERIAL SCIENCE LAB  II  4  2  100 
MPH451B  ELECTRONICS LAB  II  4  2  100 
MPH451C  ASTROPHYSICS LAB  II  4  2  100 
MPH481  SUMMER INTERNSHIP  1  1  50 
MPH482  PROJECT  4  2  100 
 
Assesment Pattern  
 
Examination And Assesments  
Continuous internal assessment (CIA) forms 50% and the end semester examination forms the other 50% of the marks in both theory and practical. For the Holistic and Seminar course, there is no end semester examination and hence the mark is awarded through CIA. CIA marks are awarded based on their performance in assignments (written material to be submitted and valued), midsemester test (MST), and class assignments (Quiz, presentations, problem solving etc.). The midsemester examination and the end semester examination for each theory paper will be for three hours duration. The CIA for practical sessions is done on a day to day basis depending on their performance in the prelab, the conduct of the experiment, and presentation of lab reports. Only those students who qualify with minimum required attendance and CIA will be allowed to appear for the end semester examination.
Examination pattern for theory
EndSemester Exam [ESE]
• A student is eligible to appear for the ESE only if she/he has put in 85% of attendance and satisfactory performance in the continuous internal assessment.
• The question paper shall be set for 100 marks. These marks will then be reduced to 50% of the total marks assigned for the paper.
• There is no provision for taking improvement exams. If a student fails in an ESE paper, he can take the exam again the next time it is offered.
• The practical examination shall be conducted with an internal (batch teacher) and an external examiner.
Examination pattern for practical
 
Department Overview:  
Department Overview
The Physics and Electronics department of Christ University was established in 1969, initiating B.Sc course with Physics, Chemistry & Mathematics (PCM) combination and subsequently Physics, Mathematics and Electronics(PME) combination in the year 1986. The department traces its root as a postgraduate center affiliated to Bangalore University in 1993 with molecular and crystal physics as specialization. Under the autonomous institution system, the department has offered specialization in electronics for MSc in 2007. Under the ?Deemed to be University? status, in 2008, MPhil and PhD programmes have been initiated. Over the years, the department has become one of the best centers for quality higher education offered at the postgraduate and research levels. The faculty consists of physicists, dedicated to quality undergraduate and post graduate education and to the advancement of knowledge in physics. Research has been activated in the concerned subject areas both on campus and in collaboration with researchers at other institutions. The faculty members of the department carry out research in many frontier areas, which includes crystallography, superconductivity, nanomaterials, nuclear physics and astrophysics. Faculty members and students have been recognized by national/international institutions in terms of awards and fellowships.The department has undertaken minor and major research projects supported by funding agencies such as UGC, DST and Centre for  
Mission Statement:  
To instill scientific temper and intellectual vigor among students, for contributing to the needs of the society, by providing an environment of learning and knowledge creation through academic accompaniment.  
Introduction to Program:  
Introduction to the programme
The postgraduate programme in physics helps to provide in depth knowledge of the subject which is supplemented with tutorials, brain storming ideas and problem solving efforts pertaining to each theory and practical course. The two year M.Sc programme offers 16 theory papers and 7 laboratory modules, in addition to the foundation courses and guided project spreading over four semesters. Foundation courses and seminars are introduced to help the students to achieve holistic development and to prepare themselves to face the world outside in a dignified manner. Study tour to reputed national laboratories, research institutions and industries, under the supervision of the department is part of the curriculum.  
Program Objective:  
Programme Objectives
? To prepare students for their future educational and career challenges through innovative teaching and learning process.
? To continuously upgrade the research activities and to contribute in the frontier areas of science and technology.
? To impart quality higher education to meet the growing needs of the stake holders.
? To fulfill the vision and mission of the institution in a holistic approach  
MPH131  CLASSICAL MECHANICS (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 
Max Marks:100 
Credits:4 
Course Objectives/Course Description 

This course is intended to make the students familiar with Newtonian mechanics and constraints, Rotating frames of reference and central force, Canonical transformation, Poissons bracket and equations of motion, Small oscillations and rigid body dynamics. 

Learning Outcome 

Classical mechanics explores the different natural phenomena that students experience in every day life. 
Unit1 
Teaching Hours:15 

Constraints and Lagrangian formulation


Mechanics of a particle, mechanics of a system of particles, constraints and their classification, principle of virtual work, D'Alembert's principle, Generalized coordinates, Lagrange's equations of motion, applications of Lagrangian formulation (simple pendulum, Atwood's machine, bead sliding in a wire), cyclic coordinates, concept of symmetry, homogeneity and isotropy, invariance under Galilean transformations  
Unit2 
Teaching Hours:15 

Rotating Frames of Reference and Central Force


Rotating frames, inertial forces in the rotating frame, effects of Coriolis force, Foucault's pendulum, Central force: definition and examples, Twobody central force problem, classification of orbits, stability of circular orbits, condition for closure of orbits, Kepler's laws, Virial theorem, Applications.  
Unit3 
Teaching Hours:15 

Canonical Transformation, Poisson Bracket and Hamilton's Equations of motion


Canonical transformations, Generating functions, conditions of canonical transformation, examples, Legandre's dual transformation, Hamilton's function, Hamilton's equation of motion, properties of Hamiltonian and Hamilton's equations of motion, Poisson Brackets,  
Unit4 
Teaching Hours:15 

Small Oscillations and Rigid Body Dynamics


Types of equilibrium and the potential at equilibrium, Lagrange's equations for small oscillations using generalized coordinates, normal modes, vibrations of carbon dioxide molecule Forced and damped oscillations, resonance, Degrees of freedom of a free rigid body, angular momentum, Euler's equation of motion for rigid body, time variation of rotational kinetic energy, Rotation of a free rigid body, Eulerian angles, Motion of a heavy symmetric top rotating about fixed point in the body under the action of gravity  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH132  ANALOG AND DIGITAL CIRCUITS (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

This module introduces the students to the applications of analog and digital integrated circuits. First part of the module deals with the operational amplifier, linear applications of opamp., active filters, oscillators, nonlinear applications of opamp, timer and voltage regulators. The second part deals with digital circuits which exposes to the logic gates, encoders and decoders, flipflops registers and counters. 

Learning Outcome 

General awarness about analog and digital integrated circuits halps to realize various practical applications. Student will be able to understand the design of analog and digital cicuit on completion of this module 
Unit1 
Teaching Hours:15 

Linear applications of opamp.


The ideal opamp: Characteristics of an opamp., the ideal opamp., Equivalent circuit of an opamp., Voltage series feedback amplifier  voltage gain, input resistance and output resistance, Voltage follower. Voltage shunt feedback amplifier  virtual ground, voltage gain, input resistance and output resistance, Current to voltage converter. Differential amplifier with one opamp.  voltage gain, input resistance. Linear applications: AC amplifier, AC amplifier with single supply voltage, Summing amplifier, Inverting and noninverting amplifier, Differential summing amplifier, Instrumentation amplifier using transducer bridge, The integrator, The differentiator.  
Unit2 
Teaching Hours:15 

Nonlinear applications of opamp.


Active filters and Oscillators: First order low pass filter, Second order low pass filter, First order high pass filter, Second order high pass filter, Phase shift Oscillator, Wienbridge oscillator, Square wave generator. Nonlinear circuits: Comparator, Schmitt trigger, Digital to analog converter with weighted resistors and R2R resistors, Positive and negative clippers, Small signal half wave rectifier, Positive and negative clampers.  
Unit3 
Teaching Hours:15 

Combinational digital circuits


Logic gates: The basic gates  OR, AND, NOT, NOR gates, NAND gates, Boolean laws and theorems (Review only). Karnaugh map, Simplification of SOP equations, Simplification of POS equations, Exclusive OR gates. Combinational circuits: Multiplexer, Demultiplexer, 116 decoder, BCD to decimal decoder, Seven segment decoder, Encoder, Half adder, Full adder.  
Unit4 
Teaching Hours:15 

Sequential digital circuits


Flip flops: RS flipflop, Clocked RS flipflop, Edge triggered RS flipflop, D flipflop, JK flipflop, JK masterslave flipflop. Registers: Serial input serial output shift register, Serial input parallel output shift register, Parallel input serial output shift register, Parallel input parallel output shift register, Ring counter. Counters: Ripple counter, Decoding gates, Synchronous counter, Decade counter, Shift counter  Johnson counter.  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH133  QUANTUM MECHANICS  I (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

Quantum mechanics being an essential component in understanding the behaviour of fundamental constituents of matter is divided in to two modules spreading over first and second semesters. The first module is intended to familiarize the students with the Principles of quantum mechanics, exactly solvable eigenvalue problems, Timeindependent and timedependent perturbation theory and scattering theory. 

Learning Outcome 

The subject provides theoretical knowledge about nano, micro and macro world of matter. 
Unit1 
Teaching Hours:15 

Basics of Quantum mechanics


Review  origin of quantum mechanics (particle aspects, wave aspects and waveparticle duality), uncertainty principle, Schrodinger equation, time evolution of a wave packet, probability current density, continuity equation, orthogonality and normalization of the wave function, box normalization, admissibility conditions on the wave function, Operators, Hermitian operators, Poisson brackets and commutators, Eigen values, Eigen functions, postulates of quantum mechanics, expectation values, Ehrenfest’s theorems.  
Unit2 
Teaching Hours:20 

Exactly solvable eigenvalue problems


Bound and unbound states of a system. Application of time independent Schrodinger wave equation: Potential step, rectangular potential barriers  reflection and transmission coefficient, barrier penetration; particle in a one dimensional box and in a cubical box, density of states; one dimensional linear harmonic oscillator  evaluation of expectation values of x2 and px2; Orbital angular momentum operators  expressions in cartesian and polar coordinates, eigenvalue and eigenfunctions, spherical harmonics, Rigid rotator; Hydrogen atom  solution of radial equation.  
Unit3 
Teaching Hours:15 

Approximation methods


Time independent perturbation theory: First and second order perturbation theory applied to nondegenerate case; first order perturbation theory for degenerate case, application to normal Zeeman effect and Stark effect in hydrogen atom.
Time dependent perturbation theory: First order perturbation, Harmonic perturbation, Fermi’s golden rule, Adiabatic approximation method, Sudden approximation method.  
Unit4 
Teaching Hours:10 

Scattering Theory


Scattering cross section, Differential and total cross section, Born approximation for the scattering amplitude, scattering by spherically symmetric potentials, screened coulomb potential, Partial wave analysis for scattering amplitude, expansion of a plane wave into partial waves, phase shift, cross section expansion, swave scattering by a square well, Optical theorem.  
Text Books And Reference Books: 1. A K. Ghatak and S. Lokanathan, Quantum Mechanics, McMillan India Ltd, 1997. 2. N. Zettli, Quantum Mechanics, Wiley India Pvt Ltd, New Delhi, 2017 3. G. Aruldhas, Quantum Mechanics, Prentice Hall of India, New Delhi 2010.  
Essential Reading / Recommended Reading 1. D. A. B. Miller, Quantum Mechanics for Scientists & Engineers, Cambridge University Press, 2008. 2. S. Gasiorowicz, Quantum Mechanics, John Wiley & Sons, 1974 3. L. I. Schiff, Quantum Mechanics, McGraw Hill Publishers, 2012. 4. J. J. Sakurai, Modern Quantum Mechanics, Pearon Education Asia, 2002. 5. R. Shankar, Principles of Quantum Mechanics, 2ndEdn., Springer, New York, 2008. 6. K. Tamvakis, Problems & Solutions in Quantum Mechanics, Cambridge University Press, 2005. 7. P. M. Mathews and A. Venkatesan, Quantum Mechanics, TMH Publishers, 1995. 8. D. J. Griffiths, Introduction to Quantum Mechanics, Prentice Hall Inc., 1995. 9. B. Crasemann and J. H. Powell, Quantum Mechanics, Narosa Publishing House, 1988. 10. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon Press, 1965  
Evaluation Pattern
 
MPH134  MATHEMATICAL PHYSICS  I (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

A sound mathematical background is essential to understand and appreciate the principles of physics. This module is intended to make the students familiar with the applications of tensors and matrices, Special functions, partial differential equations and integral transformations, Green’s functions and integral equations. 

Learning Outcome 

The programme aims to develop problem solving skills in mathematics. It also aims to develop critical questioning and creative thinking capability to formulate ideas mathematically. 
Unit1 
Teaching Hours:15 

Vector analysis and Tensors


Vectors and matrices: Review (vector algebra and vector calculus, gradient, divergence & curl), transformation of vectors, rotation of the coordinate axes, invariance of the scalar and vector products under rotations, Vector integration, Line, surface and volume integrals – Stoke’s, Gauss’s and Green’s theorems (Problems), Vector analysis in curved coordinate, special coordinate system  circular, cylindrical and spherical polar coordinates, linear algebra matrices, CayleyHamilton theorem, eigenvalues and eigenvectors. Definition of Tensors, Kronecker delta, Contravariant and covariant tensors, direct product, Contraction, inner product, quotient rule, symmetric and antisymmetric tensors, metric tensor, Levi Cevita symbol, simple applications of tensors in nonrelativistic physics. 15 hrs  
Unit2 
Teaching Hours:15 

Special Functions


Beta and Gamma functions, different forms of beta and gamma functions. Dirac delta function. Kronecker delta, Power series method for ordinary differential equations, Series solution for Legendre equation, Legendre polynomials and their properties, Series solution for Bessel equation, Bessel and Neumann functions and their properties, Series solution for Laguerre equation, it's solutions and properties (generating function, recurrence relations and orthogonality properties for all functions). 15 hrs  
Unit3 
Teaching Hours:15 

Partial Differential Equations and Integral Transforms


Method of separation of variables, the wave equation, Laplace equation in cartesian, cylindrical and spherical polar coordinates, heat conduction equations and their solutions in one, two and three dimensions. Review of Fourier series, Fourier integrals, Fourier transform, Properties of Fourier sine and cosine transforms, applications. Laplace transformations, properties, convolution theorem, inverse Laplace transform, Evaluation of Laplace transforms and applications. 15 hrs  
Unit4 
Teaching Hours:15 

Green's functions and Integral equations


Dirac delta function, properties of Dirac delta function, three dimensional delta functions, Boundary value problems, SturnmLiouville differential operator, Green’s function of onedimensional problems, discontinuity in the derivative of Green’s functions, properties of Green’s functions, Construction of Green’s functions in special cases and solutions of inhomogeneous differential equations, Green’s function symmetry of Green’s function, eigenfunction expansion of Green’s functions, Green’s function for Poisson equation. Linear integral equations of first and second kind, Relationship between integral and differential equations, Solution of Fredholm and Volterra equations by Neumann series method. 15hrs  
Text Books And Reference Books: Essential Reading: [1]. S. Prakash: Mathematical Physics, S. Chand and Sons, 2004. [2]. H. K. Dass: Mathematical Physics, S. Chand and Sons, 2008. [3].G. B. Arfken, H. J. Weber and F. E. Harris: Mathematical methods for physicists, 7th Edn., Academic press, 2013.  
Essential Reading / Recommended Reading Recommended Reading: [1]. Murray R. Spiegel, Theory and problems of vector analysis, (Schaum’s outline series) [2]. M. L. Boas: Mathematical Methods in the Physical Sciences, 2nd Edn, Wiley 1983. [3]. K.F. Riley, M.P Hobson, S. J. Bence, Mathematical methods for Physics and Engineering, Cambridge University Press (Chapter 24) [4]. P. K. Chattopadhyaya: Mathematical Physics, Wiley Eastern, 1990. [5]. E. Kryszig: Advanced Engineering Mathematics, John Wiley, 2005. [6]. Sadri Hassani: Mathematical Methods for students of Physics and related fields, Springer 2000. [7]. J. Mathews and R. Walker: Mathematical Physics, Benjamin, Pearson Education, 2006. [8]. A W. Joshi: Tensor analysis, New Age, 1995. [9]. L. A. Piper: Applied Mathematics for Engineers and Physicists, McGrawHill 1958.  
Evaluation Pattern
 
MPH135  RESEARCH METHODOLOGY (2019 Batch)  
Total Teaching Hours for Semester:30 
No of Lecture Hours/Week:2 

Max Marks:50 
Credits:2 

Course Objectives/Course Description 

The research methodology module is intended to assist students in planning and carrying out research projects. The students are exposed to the principles, procedures and techniques of implementing a research project. In this module the students are exposed to elementary scientific methods, design and execution of experiments, analysis and reporting of experimental data.


Learning Outcome 

The students are expected to get wellversed in writing research articles at the end of this course. It will expose them on how to formulate and devise research problems. 
Unit1 
Teaching Hours:15 

Research Methodology


Introduction  meaning of research  objectives of research  motivation in research, types of research  research approaches  significance of research research methods versus methodology  research and scientific method, importance of knowing how research is done  research processes  criteria of good research  defining research problem  selecting the problem, necessity of defining the problem  techniques involved in defining a problem  research design  meaning of research design  need for research design  features of good design, different research designs  basic principles of experimental design. Resources for research  research skills  time management, role of supervisor and scholar  interaction with subject experts. Thesis Writing: The preliminary pages and the introduction  the literature review, methodology  the data analysis  the conclusions, the references (IEEE format)
 
Unit2 
Teaching Hours:15 

Review of Literature & Online searching


Literature Review: Significance of review of literature  source for literature: books journals – proceedings  thesis and dissertations  unpublished items. Online Searching: Database – SciFinder – Scopus  Science Direct  Searching research articles  Citation Index  Impact Factor  Hindex etc. Document preparation system: Latex, beamer, OverleafWriting scientific report  structure and components of research report  revision and refining’  writing project proposal  paper writing for international journals, submitting to editors  conference presentation  preparation of effective slides, graphs  citation styles.
 
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH151  GENERAL PHYSICS LAB  I (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:2 

Course Objectives/Course Description 

Ten experiments are included in Laboratory 1, General Physics1. The experiments are selected from mechanics, properties of matter and thermodynamics. Suitable experimental techniques are adopted to make the students familiar with the use of basic measuring instruments. 

Learning Outcome 

The students will aquire practical exposure about the theory learned in the classrooms. 
Unit1 
Teaching Hours:30 

Cycle1


1. Elastic constants of glass plate by Cornu's interference method.  
Unit2 
Teaching Hours:30 

Cycle2


6. Stefan's constant of radiation.  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH152  ELECTRONICS LAB (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:2 

Course Objectives/Course Description 

Electronics being an integral part of Physics, Laboratory 2, Electronics is dedicated to experiments related to Electronic components and circuits. The experiments are selected to make the students familiar with the commonly used electronic components and their application in electronic circuits. During the course, the students will get to know the use of various electronic measuring instruments for the measurement of various parameters. 

Learning Outcome 

The students will get a practical knowledge about basic electronic circuits used in various devices and domestic appliances. 
Unit1 
Teaching Hours:30 

Cycle1


1. Transistor multivibrator.  
Unit2 
Teaching Hours:30 

Cycle2


6. Half adder and full adder using NAND gates.  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH231  STATISTICAL PHYSICS (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:04 

Course Objectives/Course Description 

The objective of the course, MPH 231 statistical physics enable the students to explore the basic concepts and description of various topics such as phase space, ensembles, partition functions, BoseEinstein and FermiDirac gases, nonequilibrium states, and fluctuations. 

Learning Outcome 

Detailed theoretical understanding of the topics such as phase space, ensembles, partition functions, BoseEinstein and FermiDirac gases, nonequilibrium states, and fluctuations, develop problemsolving skills and ability to correlate scientific applications. 
Unit1 
Teaching Hours:15 

Basic concepts


Introduction, phase space, ensembles (microcanonical, canonical and grand canonical ensembles), ensemble average, Liouville theorem, conservation of extension in phase space, condition for statistical equilibrium, microcanonical ensemble, ideal gas. Quantum picture: Microcanonical ensemble, quantization of phase space, basic postulates, classical limit, symmetry of wave functions, effect of symmetry on counting, distribution laws.  
Unit2 
Teaching Hours:15 

Ensembles and Partition Functions


Gibb’s paradox and its resolution, Canonical ensemble, entropy of a system in contact with a heat reservoir, ideal gas in canonical ensemble, Maxwell velocity distribution, equipartition theorem of energy, Grand canonical ensemble, ideal gas in grand canonical ensemble, comparison of various ensembles. Canonical partition function, molecular partition function, translational partition function, rotational partition function, application of rotational partition function, application of vibrational partition function to solids  
Unit3 
Teaching Hours:15 

Ideal BoseEinstein and FermiDirac gases


BoseEinstein distribution, Applications, BoseEinstein condensation, thermodynamic properties of an ideal BoseEinstein gas, liquid helium, two fluid model of liquid heliumII, FermiDirac (FD) distribution, degeneracy, electrons in metals, thermionic emission, magnetic susceptibility of free electrons. Application to white dwarfs , High temperature limits of BE and FD statistics  
Unit4 
Teaching Hours:15 

Non Equilibrium States and Fluctuations


Boltzmann transport equation, particle diffusion, electrical conductivity, thermal conductivity, isothermal Hall effect, Quantum Hall effect. Introduction to fluctuations, mean square deviation, fluctuations in ensembles, concentration fluctuations in quantum statistics, one dimensional random walk, electrical noise (Nyquist theorem). Fluctuations in FD and BE gases, WinerKhintchine theorem  
Text Books And Reference Books:
[1]. F. Reif: Statistical and Thermal Physics, McGraw Hill International, 1985. [2]. K. Huang: Statistical Mechanics, Wiley Eastern Limited, 1991. [3]. J. K. Bhattacharjee: Statistical Physics: Equilibrium and Non Equilibrium Aspects, Allied Publishers Limited, 1997. [4]. R. A. Salinas: Introduction to Statistical Physics, Springer, 2^{nd} Edn,2006. [5]. E. S. R. Gopal: Statistical Mechanics and properties of matter, Macmillan, India 1976.  
Essential Reading / Recommended Reading
[1]. B. K. Agarwal and M. Eisner: Statistical Mechanics, New Age International, 2^{nd}Edn, 1998. [2]. R. K. Pathria: Statistical Mechanics, Butterworth Heinemann, 2^{nd}Edn, 2006.  
Evaluation Pattern
 
MPH232  ELECTRODYNAMICS (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

This module introduces the students to the principles and applications of Electrostatics, Magneto statics, Electrodynamics and Electromagnetic waves. 

Learning Outcome 

The theory of electrodynamics is helpful to realize various applications. 
Unit1 
Teaching Hours:15 

Electrostatics and magnetostatics


Electrostatics: Review of electrostatics, Electrostatic boundary conditions, Poisson’s equation and Laplace’s equation, uniqueness theorem. Solution to Laplace’s equation in a) Cartesian coordinates, applications: i) rectangular box and ii) parallel plate condenser, b) spherical coordinates, applications: potential outside a charged conducting sphere and c) cylindrical coordinates, applications: potential between two coaxial charged conducting cylinders. Method of images: Potential and field due to a point charge i) near an infinite conducting sphere and ii) in front of a grounded conducting sphere. Magnetostatics: Review of magnetostatics, Multipole expansion of the vector potential, diamagnets, paramagnets and ferromagnets, magnetic field inside matter, Ampere’s law in magnetized materials, Magnetic susceptibility and permeability
 
Unit2 
Teaching Hours:15 

Electromagnetic waves


Review of Maxwell’s equations, Maxwell’s equations in matter, Boundary conditions. Poynting’s theorem, wave equation, Electromagnetic waves in vacuum, energy and momentum in electromagnetic waves. Electromagnetic waves in matter, Reflection and transmission at normal incidence, Reflection and transmission at oblique incidence. Electromagnetic waves in conductors, reflection at a conducting surface, and frequency dependence of permittivity.  
Unit3 
Teaching Hours:15 

Waveguides and potential formulation


Waveguides: Rectangular wave guides(uncoupled equations), TE mode, TM mode, wave propagation in the guide, wave guide resonatorsTM mode to z, TE mode for z. Potential formulation: Scalar and vector potentials, Gauge transformations, Coulomb and Lorentz gauge, retarded potentials, LienardWiechert potentials, the electric and magnetic fields of a moving point charge.
 
Unit4 
Teaching Hours:15 

Electromagnetic radiation and relativistic electrodynamics


Electric dipole radiation, magnetic dipole radiation, Power radiated by a point charge, radiation reaction, mechanism responsible for radiation reaction. Relativistic Electrodynamics: Review of Lorentz transformations. Magnetism as a Relativistic Phenomenon, Transformation of electric and magnetic Fields, Electric field of a point charge in uniform motion, Field Tensor, Electrodynamics in Tensor Notation, Relativistic Potentials  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
MPH233  QUANTUM MECHANICS  II (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

This course introduces the students to alternative quantum mechanical approch, the matrix mechanics, momentum space and the different descriptions such as Schrodinger picture, Heisenberg picture and Dirac's approach. Going forward, it also introduces students with the need for spin angular momentum, addition of angular momenta, symmetry and consequences, identical particles, Pauli exclusion principle. Finally it deals with the realtivistic quantum mechanics. 

Learning Outcome 

Students will be able to learn and appreciate new topics such as alternative quantum mechanical approch, the matrix mechanics, momentum space and the different descriptions Schrodinger picture, Heisenberg picture and Dirac's approach. Also spin angular momentum, addition of angular momenta, symmetry and consequences, identical particles, Pauli exclusion principle and realtivistic quantum mechanics. 
Unit1 
Teaching Hours:15 

General formalism of quantum mechanics


Hilbert space, Dirac’s bra and ket notation, projection operator and its properties, unitary transformation, Eigen values and Eigen vectors: Eigen functions of commuting operators with and without degeneracy, complete set of commuting operators, coordinate and momentum representation. Equation of motion: Schrodinger picture, Heisenberg picture and Interaction picture. Generalized uncertainty relation. Harmonic oscillator solved by matrix method.  
Unit2 
Teaching Hours:15 

Angular momentum


Angular momentum operator, angular momentum as rotational operator, Concept of intrinsic spin, total angular momentum operator, commutation relations, ladder operators, eigenvalue spectrum of J2 and Jz, Pauli spin matrices and eigen vectors of spin half systems, matrix representation of Jx, Jy and Jz, J2in jm> basis, addition of two angular momenta, Evaluation of ClebschGordan coefficients, singlet and triplet states.  
Unit3 
Teaching Hours:15 

Symmetry and its consequences


Translational symmetry in space and conservation of linear momentum, translational symmetry in time and conservation of energy, Rotational symmetry and angular momentum conservation, symmetry and degeneracy, parity (space inversion) symmetry, even and odd parity operators, Identical particles: Permutation symmetry, construction of symmetric and antisymmetric wave functions, spin statistics connection (Bosons and Fermions), Pauli exclusion principle, Slater determinant, scattering of identical particles.  
Unit4 
Teaching Hours:15 

Relativistic quantum mechanics


KleinGordan equation for a free particle and its failures, Dirac equation for a free particle, Dirac matrices, orthonormality and completeness of free particle solutions, spin of the Dirac particlepositron, Dirac hole theory, Dirac equation for central potentials, magnetic moment of the Dirac particle, Nonrelativistic approximation and spinorbit interaction energy. Energy eigenvalues of hydrogen atom.  
Text Books And Reference Books: 1. G. Aruldhas: Quantum Mechanics, Prentice Hall of India, 2010. 2. L. I. Schiff: Quantum Mechanics, McGraw Hill Publishers, 2012. 3. P. A. M. Dirac: The Principles of Quantum Mechanics, Oxford, 1967.  
Essential Reading / Recommended Reading 1. D. A. B. Miller: Quantum Mechanics for Scientists & Engineers, Cambridge University Press, 2008. 2. P. M. Mathews and A. Venkatesan: Quantum Mechanics, TMH Publishers, 1995. 3. J. J. Sakurai: Modern Quantum Mechanics, Pearon Education Asia, 2002. 4. S. Gasiorowicz: Quantum Physics, John Wiley & Sons, 1974. 5. K. Tamvakis: Problems & Solutions in Quantum Mechanics, Cambridge University Press, 2005. 6. R. P. Feynman, R. B. Leighton and M. Sands: The Feynman Lecture on Physics, Vol.III, AddisonWesley Publishing Company, Inc., 1966.  
Evaluation Pattern Continuous Internal Assessment (CIA) forms 50% and the End Semester Examination forms the other 50% of the marks with total of 100%. CIA marks are awarded based on their performance in assignments, MidSemester Test (MST), and Class assignments (Quiz, presentations, problem solving, MCQ test etc.). The midsemester examination and the end semester examination for each theory paper will be for two and three hours duration respectively. CIA 1: Assignment /quiz/ group task / presentations before MST  10 marks. CIA 2: MidSem Test (Centralized), 2 hours  50 marks to be converted to 25 marks. CIA 3: Assignment /quiz/ group task / presentations after MST  10 marks. CIA 4: Attendance (7679 = 1, 8084 = 2, 8589 = 3, 9094 = 4, 95100 = 5)  maximum of 5 marks.
 
MPH234  MATHEMATICAL PHYSICS  II (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

A sound mathematical background is essential to understand and appreciate the principles of physics. This module is intended to make the students familiar with the applications of complex analysis, probability theory, group theory, numerical techniques and their applications in physics. 

Learning Outcome 

The students after taking this course will be able to solve specific problems using complex analysis. They will appreciate the use of probability theory and group theory in physics. They will be able to solve linear, nonlinear equations using numerical techniques. 
Unit1 
Teaching Hours:15 

Complex analysis and Probability theory


Introduction, Analytic functions, CauchyReimann conditions, Cauchy's integral theorem and integral formula, Taylor and Laurent expansion poles, residue and residue theorem, classification of singularities, Cauchy's principle value theorem, evaluation of integrals, applications.
Elementary probability theory, Random variables, Binomial, Poisson and Gaussian distributionscentral limit theorem.  
Unit2 
Teaching Hours:15 

Group Theory


Basic definitions and concepts of group point, cyclic groups, Multiplication table, Subgroups, Cosets and Classes, Permutation Groups, Homomorphism and isomorphism, Reducible and irreducible representations, Schur’s lemmas and great orthogonality theorem, Elementary ideas of Continuous groups Lie, rotation, unitary groups GL(n), SO(3), SU(2), SO(3,1), SL(2,C).  
Unit3 
Teaching Hours:15 

Numerical techniques: Solution of linear and non linear equations


Direct solutions of Linear equations: Solution by elimination method, Basic Gauss elimination method, Gauss elimination by pivoting. Matrix inversion method, Iterative solutions of linear equations: Jacobi iteration method, Gauss sidel method. Roots of nonlinear equations: Bisection method, NewtonRaphson method. Curve fitting by regression method: Fitting linear equations by least squares method, Fitting transcendental equations, Fitting a polynomial function.  
Unit4 
Teaching Hours:15 

Numerical techniques: Integration and Differential equations & Applications in Physics


Numerical integration: Trapezoidal Rule, Simpson’s 1/3 rule and Simpsons 3/8 rule. Numerical solution of ordinary differential equations: Euler’s method, RungeKutta method (2nd order and fourth order methods). Freely falling body, motion of a projectile, simple harmonic motion, motion of charged particle in an electric field, motion of charged particle in a uniform magnetic field, solution of time independent schrodinger equation.
 
Text Books And Reference Books: [1]. G. B. Arfken, H. J. Weber and F. E. Harris, Mathematical methods for physicists, 7th Edn., Academic press, 2013. [2]. A.W. Joshi, Elements of Group Theory for Physicists, New Age India [3]. S. S. Sastry: Introductory methods of numerical analysis, 2nd Edn, Prentice Hall of India Pvt. Ltd., 1995. [4]. E. Balaguruswamy: Numerical Methods, TMH, New Delhi, 2002  
Essential Reading / Recommended Reading [1]. T. Dass & S. K. Sharma, Mathematical methods in Classical and Quantum Physics, Universities Press, 2009 [2]. Benjamin Baumslag & Bruce Chandler, Group theory Schaum’s series, MGH. [3]. S. Prakash: Mathematical Physics, S. Chand and Sons, 2004. [4]. B.D. Gupta, Mathematical Physics, Vikas Pub.House, New Delhi [5]. V. Rajaraman: Computer oriented numerical methods, 3rd Edn, Prentice Hall of India Pvt. Ltd., 2002. [6]. B.S Rajput, Mathematical Physics, Pragati Prakashan  
Evaluation Pattern
 
MPH235  RESEARCH TECHNIQUES AND TOOLS (2019 Batch)  
Total Teaching Hours for Semester:30 
No of Lecture Hours/Week:2 

Max Marks:50 
Credits:2 

Course Objectives/Course Description 

The research techniques and tools program is intended to equip students with necessary software and data analysis knowledge in carrying out research projects. The students are exposed to the principles, procedures and techniques of implementing a research project. In this module the students are exposed to elementary scientific methods, various data analysis techniques, plotting routines etc.


Learning Outcome 

The students will become familiar with various data analysis techniques and plotting routines. The program will provide a flavor about various statistical analysis techniques. After getting a feel about research through research methodology program, this module will expose students to various data analysis techniques and methods needed to do competent research. 
Unit1 
Teaching Hours:15 
Introduction to analytical tools


Introduction to data analysis  least squares fitting of linear data and nonlinear data  exponential type data  logarithmic type data  power function data and polynomials of different orders. Plotting and fitting of linear, Nonlinear, Gaussian, Polynomial, and Sigmoidal type data  Fitting of exponential growth, exponential decay type data  plotting polar graphs  plotting histogramsY error bars  XY error barsdata masking Quantitative Techniques (Error Analysis) General steps required for quantitative analysis  reliability of the data classification of errors–accuracy–precisionstatistical treatment of random errorsthe standard deviation of complete results  error proportion in arithmetic calculations  uncertainty and its use in representing significant digits of results  confidence limits  estimation of detection limit.
 
Unit2 
Teaching Hours:15 
Introduction of Plotting tools


Introduction to Python Programming Python programming basics strings numbers and operators variable functions Classes and objects organizing programs files and directories other features of Python languageAvaliable librariesNumpy/SciPyIPython MathplotLib/Origin/Excel/GNU Plot
 
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
https://www.codeschool.com/blog/2016/01/27/whypython
https://www.stat.washington.edu/~hoytak/blog/whypython.html
 
Evaluation Pattern 