Department of PHYSICS AND ELECTRONICS 

Syllabus for

1 Semester  2021  Batch  
Course Code 
Course 
Type 
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 
MPH151  LABORATORY  I, GENERAL PHYSICS  I    4  2  100 
MPH152  LABORATORY  II, ELECTRONICS    4  2  100 
2 Semester  2021  Batch  
Course Code 
Course 
Type 
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  LABORATORY  III, GENERAL PHYSICS  II    4  2  100 
MPH252  LABORATORY  VI, COMPUTATIONAL METHODS USING PYTHON LANGUAGE    4  2  100 
3 Semester  2020  Batch  
Course Code 
Course 
Type 
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    4  04  100 
MPH341B  ELECTRONIC INSTRUMENTATION    4  4  100 
MPH341C  INTRODUCTION TO ASTRONOMY AND ASTROPHYSICS    4  4  100 
MPH351  LABORATORY 5, GENERAL PHYSICS  III    4  2  100 
MPH352A  LABORATORY 6, MATERIAL SCIENCE  I    4  2  100 
MPH352B  LABORATORY 6, ELECTRONICS  I    4  2  100 
MPH352C  LABORATORY  VI, ASTROPHYSICS  I    4  2  100 
MPH381  TEACHING TECHNOLOGY, ETHICS AND HUMAN VALUES    2  1  50 
4 Semester  2020  Batch  
Course Code 
Course 
Type 
Hours Per Week 
Credits 
Marks 
MPH431  NONCONVENTIONAL ENERGY RESOURCES    4  4  100 
MPH432  SPECTROSCOPIC TECHNIQUES    4  4  100 
MPH441A  MATERIALS FOR RENEWABLE ENERGY    4  4  100 
MPH441B  PHYSICS OF SEMICONDUCTOR DEVICES    4  4  100 
MPH441C  STELLAR ASTROPHYSICS    4  4  100 
MPH442A  CHARACTERIZATION OF MATERIALS    4  04  100 
MPH442B  ELECTRONIC COMMUNICATION    4  4  100 
MPH442C  GALACTIC ASTRONOMY AND COSMOLOGY    4  4  100 
MPH451A  LABORATORY 7, MATERIAL SCIENCE  II    4  2  100 
MPH451B  LABORATORY 7, ELECTRONICS  II    4  2  100 
MPH451C  LABORATORY 7, ASTROPHYSICS  II    4  2  100 
MPH481  COMPREHENSIVE VIVAVOCE    0  1  50 
MPH482  PROJECT AND INTERNSHIP / INDUSTRIAL VISIT    4  2  100 
MPH131  CLASSICAL MECHANICS (2021 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 
Max Marks:100 
Credits:4 
Course Objectives/Course Description 

The course enables students to understand the basic concepts of Newtonian mechanics and introduce other formulations (Lagrange, Hamilton, Poisson) to solve trivial problems. The course also includes constraints, rotating frames, central force, Kepler problems, canonical transformation and their generating functions, small oscillations and rigid body dynamics. 

Learning Outcome 

By studying this course, students will be able to understand and conceptualize the forces acting on static and dynamic bodies and their resultant forces. This also helps students understand to solve problems related to damped, undamped and forced vibrations acting on molecules. 
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, Legendre’s dual transformation, Hamilton’s function, Hamilton’s equation of motion, properties of Hamiltonian and Hamilton’s equations of motion, Poisson Brackets, properties of Poisson bracket, elementary PB’s, Poisson’s theorem, JacobiPoisson theorem on PBs, Invariance of PB under canonical transformations, PBs involving angular momentum, principle of Least action, Hamilton’s principle, derivation of Hamilton’s equations of motion from Hamilton’s principle, HamiltonJacobi equation. Solution of simple harmonic oscillator by HamiltonJacobi method.  
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 a fixed point in the body under the action of gravity.  
Text Books And Reference Books: [1]. Srinivasa Rao, K. N. (2002). Classical mechanics: University Press. [2]. Goldstein, H. (2001). Classical mechanics (3^{rd} ed.): Addison Wesley. [3]. Rana, N. C., & Joag, P. S. (1994). Classical mechanics. New Delhi: Tata McGraw Hill.
 
Essential Reading / Recommended Reading [1]. Greiner, W. (2004). Classical mechanics: System of particles and Hamiltonian dynamics. New York: SpringerVerlag. [2]. Barger, V., & Olsson, M. (1995). Classical mechanics  A modern perspective (2^{nd} ed.): Tata McGraw Hill. [3]. Gupta, K. C. (1988). Classical mechanics of particles and rigid bodies: Wiley Eastern Ltd. [4]. Takwale, R. G., & Puranik, P. S. (1983). Introduction to classical mechanics. New Delhi: Tata McGraw Hill.  
Evaluation Pattern
 
MPH132  ANALOG AND DIGITAL CIRCUITS (2021 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 

By the end of the course the learner will be able to learn the basics of analog and digital circuit. Students are expected to be aware of various applications of linear circuits with opamp and various digital devices like flipflop, registers and counters. They also get glimpses of designing of various operational amplifier circuits. 
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  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: [1]. Gayakwad, R. A. (2002). Opamps. and linear integrated circuits. New Delhi: Prentice Hall of India. [2]. Leach, D. P., & Malvino, A. P. (2002). Digital principles and applications. New York: Tata McGraw Hill.  
Essential Reading / Recommended Reading [1]. Anand Kumar, A. (2018). Fundamental of digital circuits. New Delhi, PrenticeHall of India. [2]. Morris Mano, M. (2018). Digital logic and computer design: Pearson India. [3]. Jain, R. P. (1997). Modern digital electronics. New York: Tata McGraw Hill.  
Evaluation Pattern
 
MPH133  QUANTUM MECHANICS  I (2021 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:4 

Course Objectives/Course Description 

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

Learning Outcome 

By finishing this course each student will get an understanding of the basics of quantum mechanics, bound and unbound states of a system, solvable eigenvalue problems such as particle in a box, potential step, potential barrier, rigid rotator, hydrogen atom etc. Students will also understand the first and second order perturbation theories, adiabatic and sudden approximation methods and scattering theory. 
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 density, 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 theorems.  
Unit2 
Teaching Hours:20 

Exactly solvable eigenvalue problems


Bound and unbound systems. Application of time independent Schrodinger wave equation  Potential step, rectangular potential barriers  reflection and transmission coefficient, barrier penetration; particle in a onedimensional box and in a cubical box, density of states; one dimensional linear harmonic oscillator  evaluation of expectation values of x^{2} and p_{x}^{2}; Orbital angular momentum operators  expressions in cartesian and polar coordinates, eigenvalue and eigenfunctions, spherical harmonics, Rigid rotator, Hydrogen atom  solution of the 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. Timedependent perturbation theory  First order perturbation, Harmonic perturbation, Fermi’s golden rule, Adiabatic approximation method, Sudden approximation method.  
Unit4 
Teaching Hours:10 

Scattering Theory


Scattering crosssection, Differential and total crosssection, 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, crosssection expansion, swave scattering by a square well, optical theorem.  
Text Books And Reference Books:
[1]. Zettli, N. (2017). Quantum mechanics. New Delhi: Wiley India Pvt Ltd. [2]. Aruldhas, G. (2010). Quantum mechanics. New Delhi: PrenticeHall of India. [3]. Ghatak, A. K. & Lokanathan, S. (1997). Quantum mechanics: McMillan India Ltd.  
Essential Reading / Recommended Reading
[1]. Schiff, L. I. (2017). Quantum mechanics (4^{th} ed.).New York: McGraw Hill Education Pvt Ltd. [2]. Miller, D. A. B. (2008). Quantum mechanics for scientists and engineers:Cambridge University Press. [3]. Shankar, R. (2008). Principles of quantum mechanics (2^{nd} ed.). New York: Springer. [4]. Tamvakis, K. (2005). Problems and solutions in quantum mechanics: Cambridge University Press. [5]. Sakurai, J. J. (2002). Modern quantum mechanics: Pearson Education Asia. [6]. Crasemann, B., & Powell, J. H. (1998). Quantum mechanics: Narosa Publishing House. [7]. Mathews, P. M., & Venkatesan, A. (1995). Quantum mechanics. New Delhi: Tata McGraw Hill. [8]. Griffiths, D. J. (1995). Introduction to quantum mechanics: Prentice Hall Inc. [9]. Gasiorowicz, S. (1974). Quantum physics: John Wiley & Sons. [10].Landau, L. D., & Lifshitz, E. M. (1965). Quantum mechanics: Pergamon Press.  
Evaluation Pattern
 
MPH134  MATHEMATICAL PHYSICS  I (2021 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 students will be able to ● develop problem solving skills in mathematics and develop critical questioning and creative thinking capability to formulate ideas mathematically. ● apply the knowledge of special functions, partial differential equations, Green’s functions and integral equations in learning the dynamics of physical systems using quantum mechanics 
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. Tensors: 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.
 
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).  
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.  
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, SturmLiouville differential operator, Green’s function of one dimensional 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.  
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 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 threehours 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.
 
MPH151  LABORATORY  I, GENERAL PHYSICS  I (2021 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 

Max Marks:100 
Credits:2 

Course Objectives/Course Description 

Experiments are selected to improve the understanding of students about mechanical, magnetic, optical and basic electronic properties of materials. 

Learning Outcome 

After completion of this course, the students will gain practical knowledge about the mechanical, magnetic properties (BH loop and Curie temperature), optical properties (interference) and electronics properties (band gap and IV characteristics) of materials. 
Unit1 
Teaching Hours:30 

Cycle1


1. Elastic constants of glass plate by Cornu's interference method. (Online/Offline) 2. Study of thermoemf and verification of thermoelectric laws (Onlilne/Offline) 3. Wavelength of iron arc spectral lines using constant deviation spectrometer. (Offline) 4. Energy gap of the semiconducting material used in a PN junction. (Offline) 5. Characteristics of a solar cell. (Online/Offline) 6. Stefan’s constant of radiation. (Offline) 7. Study of hydrogen spectra and determination of Rydberg constant (Offline)  
Unit2 
Teaching Hours:30 

Cycle2


1. Relaxation time constant of a serial bulb. (Offline) 2. e/m by Millikan’s oil drop method. (Online) 3. Study of elliptically polarized light by using photovoltaic cell. (Offline) 4. Study of absorption of light in different liquid media using photovoltaic cell. (Offline/Online) 5. Determination of Curie temperature of a given ferro magnetic material. (Offline) 6. Determination of energy loss during magnetization and demagnetization by means of BH loop. (Online/Offline)  
Text Books And Reference Books: 1. Worsnop, B. L.,& Flint, H. T. (1984). Advanced practical physics for students. New Delhi: Asia Publishing house. 2. Sears, F. W., Zemansky, M. W.,& Young, H. D. (1998). University physics(6^{th}ed.): Narosa Publishing House.  
Essential Reading / Recommended Reading 3. Chadda, S.,& Mallikarjun Rao, S. P. (1979). Determination of ultrasonic velocity in liquids using optical diffraction by short acoustic pulses: Am. J. Phys. Vol. 47, Page. 464. 4. Collings, P. J. (1980). Simple measurement of the band gap in silicon and germanium, Am. J. Phys., Vol. 48, Page. 197. 5. Fischer, C. W. (1982). Elementary technique to measure the energy band gap and diffusion potential of pn junctions: Am. J. Phys., Vol. 50, Page. 1103.  
Evaluation Pattern
 
MPH152  LABORATORY  II, ELECTRONICS (2021 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 (2021 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 is to 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
