Physics

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Contents 1 Semesterwise list of courses 2 First Semester 2.1 P101: Mechanics and Thermodynamics 3 Second Semester 3.1 P201: Electricity and Magnetism and Optics 4 Third Semester 4.1 P301: Classical Mechanics I: 4.2 P302: Mathematical Methods I: 4.3 P303: Introductory Quantum Mechanics I: 5 Fourth Semester 5.1 P401: Electromagnetism I 5.2 P402: Mathematical Methods II: 5.3 P403: Electronics: 6 Fifth Semester 6.1 P501: Electromagnetism II 6.2 P502: Statistical Mechanics: 6.3 P503: Quantum Mechanics II: 7 Sixth Semester 7.1 P601: Atoms, Molecules and Radiation: 7.2 P602: Introduction to Condensed Matter Physics: 7.3 P603: Nuclei and Particles: 8 List of Electives 9 OUTLINE OF SOME OF THE ELECTIVES 9.1 Classical mechanics and Mechanics of Continuous Media: 9.2 Elective on Advanced Quantum Mechanics and Quantum Field Theory: 9.3 Elective on Quantum Field Theory: 9.4 Elective on Particle Physics: 9.5 Advanced Topics in Solid State Physics 9.6 Soft Condensed Matter 9.7 Elective Course in Many Particle Physics 9.8 Elective Course on Advance Topics in Condensed Matter Superconductivity 9.9 Elective Course on Advance Topics in Condensed Matter Magnetism 9.10 General Theory of Relativity and Cosmology:

PHYSICS SYLLABUS FOR INTEGRATED M.Sc. COURSE: NISER (Numbers in the bracket indicate approximate number of lectures for the topic)

[edit] Semesterwise list of courses

First Semester

1. P101 Mechanics and Thermodynamics
2. PL101 Physics Lab

Second Semester

1. P201 Electricity and Magnetism and Optics
2. PL201 Physics Lab

Third Semester

1. P301 Classical Mechanics I(4)
2. P302 Mathematical Methods I(4)
3. P303 Quantum Mechanics I (4)
4. PL301: Physics Lab (2)
5. PL302: Physics Lab (2)

Fourth Semester

1. P401 Electromagnetism I (4)
2. P402 Mathematical Methods II (4)
3. P403 Electronics (4)
4. PL401: Physics Lab (2)
5. PL402: Physics Lab (2)

Fifth Semester

1. P501: Electromagnetism II (4)
2. P502: Statistical Mechanics (4)
3. P503: Quantum Mechanics II (4)
4. PL501: Physics Lab (2)
5. PL502: Physics Lab (2)

Sixth Semester

1. P601: Atoms, Molecules and Radiation (4)
2. P602: Introduction to condensed matter physics (4)
3. P603: Nuclei and Particles (4)
4. PL601: Physics Lab (2)
5. PL602: Physics Lab (2)

Seventh semester

1. PE701: Classical Mechanics II: Mechanics of Continuous media (compulsory) (4)
2. PE702: Advanced Solid State Physics (4)
3. PE703: Astronomy and Astrophysics (4)
4. PE704: Computational Physics (4)
5. PE705: Quantum Field Theory I (4)
6. PL701: Physics Lab (4)
7. PL702: Physics Lab (4)

Eighth semester

1. PE801: Particle Physics (4) of Continuous media (compulsory) (4)
2. PE802: Introduction to Phase transitions and Critical phenomena (4)
3. PE803: Plasma Physics and Magnetohydrodynamics (4)
4. PE804: Biophysics (4)
5. PE805: Nonlinear optics and laser (4)
6. PL801: Physics Lab (4)
7. PL802: Physics Lab (4)

Ninth semester

1. PE901: General Relativity and Cosmology (4)
2. PE902: Soft Condensed Matter (4)
3. PE903: Applied Nuclear Physics (4)
4. PE904: Many Particle Physics (4)
5. PE905: Quantum- and Nano-electronics (4)
6. PEL901 Physics Lab (4)
7. PEL902 Physics Lab (4)

Tenth semester

1. PE1001: Nonlinear Physics, Chaos, Turbulence (4)
2. PE1002: Theory of Magnetism and Superconductivity (4)
3. PE1003: Density functional theory of atoms molecules and solids (4)
4. PE1005: Quantum field theory II (4)
5. PL1001 Physics Lab (4)
6. PD1001: Projects (8)

[edit] First Semester

[edit] P101: Mechanics and Thermodynamics

1. Coordinate systems, elements of vector algebra in plane polar, cylindrical, spherical polar coordinate systems.
2. Dimensional Analysis
3. Solutions for one dimensional equation of motion in various forms, line integrals, conservative forces, potential, work-energy theorems, energy diagrams
4. Conservation of linerar momentum and collisions, variable mass problems
5. forced oscillations, damping, resonance
6. conservation of angular momentum and elementary rigid body dynamics.
7. Principles of thermodynamics, concept of thermodynamic state, extensive and intensive variables
8. Heat and work, internal energy function and the first law of thermodynamics
9. Equations of state
10. Concepts of entropy, entropy maximum and energy minimum principles
11. Second law of thermodynamics
12. Thermodynamics potentials, enthalpy, Helmholtz potential, Gibbs potential
13. Conditions of equilibrium, first order phase transitions and Clausius-Clapeyron equation, applications
14. Chemical reactions
15. Heat engines and black body radiation
16. Elementary kinetic theory of gases, equilibrium properties-pressure and equation of state;
17. Transport processes, illustration with simple examples.

Main References

1. Introduction to mechanics: Daniel Kleppner & Robert Kolenkow. New York: McgGraw-Hill Book Co., Inc., 1973
2. Heat and thermodyamucs: an intermediate textbook: Mark W. Zemansky & Richard H. Dittman. 7th ed., New York: McGraw-Hill Book co., Inc., 1997
3. Fundamentals of Physics: David Halliday, Robert Resnick, & Jearl Walker. 8th ed., New Jersey: John Wiley, 2008
4. University Physics: Francis W. Sears, Mark Zemansky, & Hugh D. Young. 7th ed. Masschusetts: Addison Wesley, 1987
5. Mechanics: Keith R. Simon. 3rd ed. Masschusetts: Addison Wesley pub. Co., 1971
6. Thermodynamics, kinetic theory, & statistical thermodynamics: Francis W. Sears, & Gerhard L. Salinger, 3rd ed., Norosa 1998
7. Mechanics: Charles Kittel, Walter D. knight & Malvin A. Ruderman. 2nd ed., New York: McGraw-Hill Book Co., Inc., 1973

[edit] Second Semester

[edit] P201: Electricity and Magnetism and Optics

1. Summary of electrostatics and magnetostatics
2. Gauss’ law in differential form, electrostatic potential and curl of E
3. Electric displacement and boundary conditions, linear dielectrics
4. Motion of charge in electric and magnetic field
5. Current density, curl and divergence of B, Ampere’s law, magnetic field H, magnetic susceptibility, boundary conditions of B and H
6. Faraday’s law in differential form, displacement current
7. Maxwell’s equations in media, e.m. wave equation, plane waves, polarization and types of polarization, energy and momentum of plane e.m. waves, grating and diffraction experiments, X-rays and Braag’s laws.

References

1. Introduction to Electrodynamics: David J. Griffiths. 3rd ed. New Jersey: Prentice Hall, 1999.
2. Optics: Eugene Hecht. 4th ed. Massachusetts: Addison Wesley, 2001.
3. Fundamentals of Physic: David Halliday, Robert Resnick & Jearl Wlaker. 8th ed. New York: John Wiley & Sons Inc., 2004.
4. Foundations of Electromagnetic theory: John R. Reitz, Fredrick Milford & Robert Christ. 4th ed. Massachusetts: Addison Wesley, 1993.
5. Fundamentals of optics: Francis A. Jenkins & Harvey e. White 4th ed. New York McGraw – Hill Book Company Inc., 2001
6. Electricity and magnetism (Berkeley Physics Course; vol.2): Edward M. Purcell. 2nd ed. New York McGraw – Hill Book Company Inc., 1985.
7. Optical Physics: Stephen G. Lipson, Henry Lipson & D.S. Tannhauser. 3rd ed. New York: Cambridge University Press, 1995.

[edit] Third Semester

[edit] P301: Classical Mechanics I:

1. Two-body central force problem (reduced mass); planet orbits; virial theorem. (6-8 )
2. Collisions and scattering, CM and Lab frames, scattering cross section (6)
3. Rigid body dynamics; Euler equations (should solve up to nutation of a top) ; Euler angles. (6-8)
4. Motion in non-inertial frames; Coriolis force (4)
5. Principle of virtual work; constraints; D Alembert’s principle (2)
6. Generalised coordinates, velocities and momenta; Lagrange’s formulation (6)
7. Hamilton’s equations; Poisson brackets (4)
8. Canonical transformations; Hamilton-Jacobi equation; Generating functions; Symmetries and conservation laws.
9. Small oscillations; Normal modes.

References:

1. “Classical Mechanics” - Simon
2. “Classical Mechanics” - Kibble
3. “Classical Mechanics” - Rana and Jog
4. “Classical Mechanics” - Goldstein

[edit] P302: Mathematical Methods I:

1. Vector Calculus (8)
2. Review of Linear vector spaces, linear operators in linear vector spaces, Hermitian, projection and Unitary operators, normal matrices and diagonalisation (10)
3. Cartesian tensors, 4-vectors and 4-tensors (4)
4. Review of 2^nd order linear homogeneous differential equations with variable coefficients, Laplace's equation and method of separation of variables, Solutions to the Bessel, Hermite, Legendre, hyper-geometric and confluent hyper-geometric equations (10)
5. Review of Bessel functions and spherical Bessel functions (4)
6. Legendre Polynomials and Spherical Harmonics, expansion of a plane wave in terms of spherical waves (6)

Total number of lectures 42

References:

1. Mathematics for Physicists: P. Dennery andA. Krzywicki
2. Mathematical Methods in the physical sciences: M. L. Boas
3. Mathematical Methods For Physicists: G. B. Arfken and H. J. Weber
4. Mathematical Physics I and II: S.D. Joglekar
5. Mathematical Methods of Physics: Mathews and Walker

[edit] P303: Introductory Quantum Mechanics I:

1. Origins of quantum theory, (6-8)
2. Schrödinger equation, one-dimensional problems, Scattering and tunneling from 1-dimensional potentials (8-10)
3. Central potentials; hydrogen atom, (5)
4. Symmetries in quantum mechanics, general treatment of angular momentum; spin (10)
5. Identical particles; Pauli exclusion principle. (3)
6. Introduction to Ist order time-independent perturbation theory; degenerate perturbation theory and variational method( (4)

Total number of lectures 39-43

References:

1. Introduction to Quantum Mechanics: R.H. Dicke and J.P Wittke
2. Quantum Mechanics: A Modern Introduction: Ashok Das
3. Principles of Quantum Mechanics: R. Shankar
4. Quantum Mechanics: Landau and Lifshitz
5. Introduction to Quantum Physics (M.I.T. Introductory Physics Series) by A. P. French ,

Edwin F. Taylor

1. Quantum Mechanics: Schiff
2. ntroduction to Quantum Mechanics: Griffiths
3. Modern Quantum Mechanics: J. Sakurai

[edit] Fourth Semester

[edit] P401: Electromagnetism I

1. Coulomb law and electrostatics, Greens functions. (3-4)
2. Laplace and Poisson equations, uniqueness theorem, method of images. (6)
3. Dielectrics, Polarization, electric displacement. (4)
4. Steady currents; and magnetostatics, magnetic materials. (5-6)
5. Time-varying fields, Farady’s law, displacement current (6)
6. Maxwell’s equations, electromagnetic waves, (4)
7. Lorentz force, Poyntings theorem, electromagnetic energy momentum tensor. (6)
8. Gauge transformations and gauge invariance, electromagnetic potentials (4)

Total number of lectures 38-40

References:

1. Classical Electrodynamics: J.D. Jackson 3rd Edition
2. Introduction to electrodynamics: D.J. Griffiths 3rd Edition
3. Foundations of Electromagnetic theory: Reitz and Milford
4. Lectures in Physics: Vol. 2: R.P. Feynman, Mathews and Sands

[edit] P402: Mathematical Methods II:

Functions of a complex variable, analytic functions, residue theorem and applications, Taylor and Laurent series, analytic continuation, special analytic functions, method of steepest descent (12-15)

Hilbert space, Differential operators and Sturm-Liouville theory, (5)

Partial differential equations, (6)

Green’s functions. (3)

Variational methods (4)

Generalized functions (4)

Numerical Techniques (Note: should emphasize the theory behind the techniques used in Quadrature, Differential Equation Solutions and Self-consistent methods) (5)

Total number of lectures 39-42

References:

1. Mathematics for Physicists: P. Dennery and A. Krzywicki2. Mathematical Methods For Physicists: G. B. Arfken and H. J. Weber3. Complex Variables and Applications: J. W. Brown and R. V. Churchill

[edit] P403: Electronics:

Foundations, passive elements, sources : dependent sources survey of network theorems and network analysis, transient response of R-L circuit , R-C circuits, sinusoidal steady state response, diodes and diode circuits. power supply: rectifiers, full wave rectier without center tapped transformer, bipolar junction transistors constant current source, constant voltage source, Field effect transistors (FET), Basic differential amplifier circuits, Feedback and operational amplifiers

Digital electronics: gates, universality of certain gates: using NAND gates, Boolean expressions, other ways of realizing logic functions, multiplexers, ip-ops and latches, counters sequential circuits: master slave ip-op (S-R), edge triggered ip-ops, transducers, signal averaging, lock-in amplifier, D/A & A/D converter, multi channel analyzer etc., introduction to microcomputers and microprocessors.

References:

1. Paul Horowitz, Winfield Hill, The art of electronics, Cambridge University Press
2. Robert L. Boylestad, Louis Nashelsky, Electronic Devices and Circuit Theory, Prentice Hall
3. Malvino and Bates, Electronic Principles
4. Integrated Electronics, Millman and Halkias, Tata McGraw-Hill
5. Electronic Devices and Circuits, Millman, Halkias and Jit, Tata McGraw Hill
6. Edminister, Circuit Analysis (Schaum Series)
7. Allan R. Hambley, Electronics, Prentice Hall
8. Thomas L. Floyd, Electronics Fundamentals, Prentice Hall
9. Earl Gates, Introduction to Electronics, Cengage Learning
10. R.A.Gayakwad, Op-amps and linear integrated circuits, Prentice Hall of India
11. Millman, Grabel, Microelectronics, McGraw-Hill
12. DeCarlo, and Lin, Linear circuit analysis, Oxford University Press
13. Hayt, Kammerly and Durbin, Engineering Circuit Analysis, Tata McGraw-Hill

[edit] Fifth Semester

[edit] P501: Electromagnetism II

1. Boundary-value problems in electrostatics and magnetostatics (8)
2. Wave propagation in conductors and dielectrics, Reflection, Refraction, Total internal reflection, Attenuation of waves in metals, Brewsters angle; Lorentz theory of dispersion; wave-guides, fibres and plasmas (10)
3. Special relativity, Minkowski space and four vectors, four-potential, relativistic formulation of electrodynamics, Maxwell equations in covariant form. Relativistic kinematics. (10)
4. Lienard-Weichert potentials, radiation from an accelerated charge, Larmor formula, bremsstrahlung and synchrotron radiation (8)
5. Multipole radiation, scattering by free charges (3)
6. Diffraction (3)

Total number of lectures 42

References:

1. Classical Electrodynamics: J.D. Jackson 3rd Edition
2. Introduction to electrodynamics: D.J. Griffiths 3rd Edition
3. Foundations of Electromagnetic theory: Reitz and Milford
4. Classical theory of fields: L. Landau and E. Lifshitz

[edit] P502: Statistical Mechanics:

1. Introduction I: Thermodynamic potentials, entropy and concepts related to equilibrium state and thermodynamic stability (4)
2. Introduction II: Kinetic theory of gases, Boltzmann distribution and its implications (6)
3. Introduction III: concepts in statistics; randomness, probability distribution, central limit theorem (4)
4. Density matrix, Liouville’s equation, ensemble theory (8)
5. Gibb’s distribution: Classical and Quantum free particles, systems with continuous and discrete spectrum, application to electrons in metals, black-body radiation, white dwarf and Bose-Einstein condensation (8-10)
6. Real gases and gas-liquid transition: virial expansion, radial distribution function, Born Green Hierarchy, van der Waals equation (4-6)
7. Introduction to response, fluctuation and noise, Einstein formula (6)

Total number of lectures 40-44

References:

1. Intro to Stat. Physics, Kerson Huang (Taylor and Francis)
2. Statistical Physics of Particles, M. Kardar (Cambridge)
3. Statistical Physics Chandler
4. Statistical Physics - Reif
5. Statistical Physics: R.P. Feynman
6. Statistical Physics Vol. I: L. Landau and E. Lifshitz

[edit] P503: Quantum Mechanics II:

1. Hilbert space formalism for quantum mechanics (8)

Time-independent perturbation theory; variational method, WKB approximation (8)

Time-dependent perturbation theory; scattering theory. (10)

Green's function methods; Path integral in non-relativistic theory (4-6)

Relativistic wave equations: Dirac Equation, Dirac particle in presence of an electromagnetic field leading to g=2; holes.(8)

Total number of lectures 42

References:

1. Principles of Quantum Mechanics: R. Shankar
2. Quantum Mechanics: by L. I. Schiff
3. Quantum Mechanics (volumes 1 and 2): A. Messiah
4. Quantum Mechanics: Cohen- Tannoudji

[edit] Sixth Semester

[edit] P601: Atoms, Molecules and Radiation:

[edit] P602: Introduction to Condensed Matter Physics:

1. General introduction (Drude model) (2)
2. Free electrons gas (2)
3. Crystal structure; x-ray diffraction; (4-5)
4. Cohesive energy (2-3)
5. Bloch’s theorem; Band theory – nearly free electrons; tight binding approximation; semi-classical dynamics of electrons in a band; motion of electrons in super-lattices; motion of atoms in an optical potential; Landau levels - de Hass van Alphen effect and Integer quantum hall effect (6-8)
6. Semiconductors (6)
7. Thermal properties of insulators; phonons (6-8)
8. Magnetism (5)
9. Superconductivity (5)

Total number of lectures: 38-44

References:

1. Introduction to Solid-state Physics, C. Kittel:
2. Solid-state physics, N. Ashcroft and N.D. Mermin,
3. Solid-state physics, Rosenberg
4. Physics of semiconductor devices, Sze
5. Solid sate physics, Burn
6. Oxford Series in Condensed Matter [Oxford university press]

[edit] P603: Nuclei and Particles:

1. General properties of nuclei, nuclear decays (4)
2. Nuclear force, charge independence (4)
3. Nuclear models (4)
4. Nuclear reactions and classification , heavy ion reactions (5)
5. Nuclear fission and fusion (3)
6. Fundamental interactions, elementary particles (3)
7. Isospin, flavour SU(2), strangeness & flavour SU(3), Gell-Mann eightfold way (5)
8. Statistics of baryons & concept of colour; quark model, construction of hadronic wave functions (5)
9. Discovery of weak interactions, Fermi theory, IVB hypothesis (3)
10. Introduction to Standard model (4)

Total number of lectures 40

References

1. Introduction to Nuclear Physics - Roy and Nigam
2. Nuclear Physics - Preston and Bhaduri
3. Introduction to particle physics - Griffith
4. Introduction to particle physics - Perkins

[edit] List of Electives

(The following gives a list of electives. Outline of some of the electives is also provided below.)

1. Classical mechanics and Mechanics of Continuous Media
2. Advanced Quantum Mechanics and Quantum Field Theory
3. Quantum Field Theory
4. Particle Physics
5. Advanced topics in Solid State Physics
6. Soft Condensed Matter
7. Many Particle Physics
8. Advanced Topics in Condensed Matter: Superconductivity
9. Advanced Topics in Condensed Matter: Magnetism
10. Renormalization Group and Critical Phenomena
11. General Relativity and Cosmology
12. Biophysics

1. 1. Instrumentation
   2. Special Experimental Techniques
   3. Analogue and Digital Electronics
   4. Nuclear Detection Techniques
   5. Numerical Methods
   6. Plasma Physics and Magnetohydrodynamics
   7. Astronomy and Astrophysics
   8. Fluid Mechanics
   9. Surface Science
   10. Nano Physics
   11. Laser Physics
   12. Reactor Physics
   13. Material Science
   14. Accelerator Physics
   15. Radiation effects on materials

[edit] OUTLINE OF SOME OF THE ELECTIVES

[edit] Classical mechanics and Mechanics of Continuous Media:

1. Principle of least action; formulation by Maupertuis, Euler, Hamilton; Liouvilles’s theorem. (4)
2. Canonical transformations; Hamilton-Jacobi equation; Generating functions; Symmetries and conservation laws (6)
3. Small oscillations; Normal modes (4)
4. Strings: Euler Lagrange equation for continuous medium, Bernoulli's and D'Alembert's solutions, Sturm-Liouville theory. (6)
5. Membranes: Scalar Helmholtz equation and its solution in various geometries. (4)
6. Fluids: Newtons second law for an ideal fluid, continuity equation, Euler equation,

Bernoulli's theorem, sound waves in fluids. (4)

1. Surface waves on Fluids: Tidal waves (long waves on shallow water), surface waves on deep water, solitary waves. (4)
2. Viscous Fluids: Viscous stress tensor, Navier Stokes equation, examples of

incompressible flow, sound waves in viscous fluids, (6)

1. Elastic Continua: Small deformations, stress tensor, elastic energy, equation of motion.

Mechanics of continuous media (4)

Total number of lectures: 42

References:

1. Classical Mechanics - Rana and Joag
2. Classical Mechanics - Goldstein
3. Classical Mechanics - Fetters and Walecka
4. Fluid Mechanics: L. Landau and E. Lifshitz
5. Theory of Elasticity: L. Landau and E. Lifshitz

[edit] Elective on Advanced Quantum Mechanics and Quantum Field Theory:

Pre-requisite: Quantum Mechanics II

This course aims at an introduction to Feynman diagram techniques and calculation of simple 1-loop processes. Klein-Gordon equation and difficulties, Dirac equation and concept of holes, Quantization of scalar and spin-½ fermion fields, Interaction picture and S-matrix, perturbation series, Wick’s theorem, Feynman diagrams, lowest order processes, one-loop quantum corrections. Introduction to idea of renormalization.

[edit] Elective on Quantum Field Theory:

Pre-requisite: Quantum Mechanics II

Path-integral formulation of quantum mechanics, Path-integral for scalar fields, generating functional, connected Green’s functions, Feynman rules, calculation of 1-loop diagrams, Integrals for Grassmann variables, path-integral for Dirac field, Path-integral for electromagnetic field and gauge fixing, Feynman diagrams in QED, local symmetry and WT identities, 1-loop renormalization, Yang-Mills theory, gauge-fixing and ghosts, Spontaneous symmetry breakdown, Introduction to standard model.

[edit] Elective on Particle Physics:

Pre-requisite: an elective involving QFT

Calculation of cross-section and decay rates, SU(3) symmetry, quark model, color, scaling, QCD, Summary of weak interactions and IVB, Glashow-Weinberg-Salam model, Standard model and tests.

[edit] Advanced Topics in Solid State Physics

Introduction to physics of metals and Insulators Electrical, Thermal and Optical properties of metals and insulatorsand need to study excitation spectrum in detail.Electrons, phonons and MagnonsScreening and Plasma OscillationsCharge impurity in a metal: Friedel OscillationMagnetic impurity in a metal, moment formation and suppression.Electron gas in Low dimension: impurity and interaction effects.Quantum Hall EffectMetal-Insulator transitionElectron - phonon interaction, Frohlich Hamiltonian and Superconductivity.Books: Advanced Solid State Physics: Philip PhillipsElementary Excitations in Solids: D. PinesSolid State Physics: Marder

Concepts in Solids: P.W. Anderson

Basic Notions in Condensed Matter: P.W. Anderson

[edit] Soft Condensed Matter

(Liquids, Colloids, Polymers, and Liquid Crystals)Prerequisite: Introduction to condensed Matter Physics, Statistical PhysicsWhat is Soft Condensed Matter: forces, energies and time scales.Phase transition in soft matterRadial distribution function and description of liquidsColloidsPolymersGelsLiquid CrystalsSoft matter in natureBooks:Chaikin Lubensky Condensed Matter PhysicsD. Goldstein: States of MatterChandler: Statistical Physics (OUP 1987)R A L Jones: Soft Condensed Matter (O U P 2002)Soft Matter Physics: Daoud and Williams (Springer 1999)

[edit] Elective Course in Many Particle Physics

Prerequisite: Statistical Physics, Advanced Quantum Mechanics orField Theory (whichever includes second quantization).

Books:

1. Lifshitz Pitaeviski (Landau Lifshitz Stat Phys Part II
2. Rickeyzen Greens function for condensed Matter
3. Doniach and Sondhaimer Greens function for condensed Matter
4. Fetter Walecka: Quantum Theory of Man body Particle systems:
5. Ben Simon: Many Particle Physics
6. Basic Notions in Condensed Matter: P.W. Anderson
7. Techniques and application of Path-integration Plan: S. Schulman

Second Quantization, One and two body operators Observables and their relationship to one and two body Greens functions Thermodynamic potential, Spectral functions, Analytic properties ofGreens functionLinear Response, correlation function, sum rulesCanonical Transformation: Bogoliubov Valetin, Schrieffer Wolf, etc.Equation of motion, mean field theory.Diagrammatic Perturbation theory for Green function and thethermodynamic potential,Luttinger Ward Identities., Mean field theory

Functional Integration Methods.

[edit] Elective Course on Advance Topics in Condensed Matter Superconductivity

Prerequisite: Elementary Solid State Physics, Advanced QuantumMechanics, Statistical Physics

Books:

1. Superconductivity - Schrieffer
2. Superconductivity - de Gennes
3. Superconductivity - Tinkham
4. Quantum Theory of Man body Particle systems - Fetter Walecka::
5. Statistical Physics II - Lifshitz and Pitaevisky:

Plan

The phenomenon of Superconductivity: historical perspective,characteristics, occurrence,London Equations, ThermodynamicsGinzburg Landau Theory, Abrikosov Vortices,Josephson EffectCooper Instability, BCS wave function, Gap equation, ThermodynamicsMeissner Effect, Screening and Plasma oscillations, Anderson Mechanism,

Conventional and non-conventional superconductors

[edit] Elective Course on Advance Topics in Condensed Matter Magnetism

Prerequisite: Elementary Solid State Physics, Advanced QuantumMechanics, Statistical PhysicsPlanDiamagnetism Paramagnetism Ferromagnetism characteristics, OccurrenceLandau van Leeumann Theorem: magnetism and Quantum MechanicsOrbital magnetism, de Haas van Alfen effect, Meissner Effect in superconductorExchange interaction: variousHeisenberg Model: Ground state, Spin wavesHubbard Model and Itinerant exchange Landau Lifshitz Equation, Domain Walls, Anisotropies and Hysteresis

[edit] General Theory of Relativity and Cosmology:

Review of Newtonian Mechanics and special theory of relativity. Prelude to General relativity, historical developments

4-Vectors and 4-tensors, examples from physics

Principle of Equivalence, Equations of motion, Gravitational force

Tensor Analysis in Riemannian space, Effects of Gravitation, Riemann-Christoffel curvature tensor, Ricci Tensor, Curvature Scalar

Einstein Field Equations, Experimental tests of GT

Scwartzchild Solution, Gravitational lensing

Gravitational waves: generation and detection

Energy, momentum and angular momentum in Gravitation

Cosmological principle, Robertson-Walker metric, Redshifts

Big-Bang Hypothesis, CMB.

Issues in Quantum Gravity

Proposed laboratory experiments in Physics for NISER

Semester – 1

General Physics – I (1 turn / week)

Sensitivity of a Moving Coil Galvanometer

Newton’s ring

Grating spectrometer

Anderson’s bridge for measurement of L

Koenig’s method for determination of Y

Compound pendulum

Helmholtz coils

Thermal conductivity by Searle’s method

Kundt’s tube for determination of speed of sound

Fresnel’s biprism

Determination of coefficient of Viscosity

Determination of surface tension

Semester – 2

1. General Physics – II (1 turn / week)

Ultrasonic Diffraction Grating

Specific heat of Graphite

Electrically maintained tuning fork ( frequency, waveform)

Self & Mutual Inductance

Rating of Vacuum Pump

Linear Air Track

Forbe's Method

Fizeau's Method

Elastic Constant by Cornu’s Method

Stefan’s Constant

Simulation experiment based on Non-inertial and rotating frames of reference

Simulation experiment based on electromagnetic wave propagation

2. Programming Lab (1 turn /week)

In addition to what is already being done presently, some background must be prepared for the Computational lab in Semester -5 (see details below). If required, there can be another Programming Lab in Semester -3 / 4.

Semester -3

General /Modern Physics (2 turns / week)

Photoelectric Effect

Frank-Hertz Experiment

Determination of e/m

Faraday Effect and Verdit’s Constant

Magnetic Susceptibility by Gouy’s Method

Measurements of Permitivity and Dielectric Constant

EM Induction

Electron Diffraction

Hysteresis by Magnetometer Method

Thermistor characteristics

Semester - 4

A. Basic Electronics (1 turn / week)

Familiarization with multimeter, DC supply, CRO

Filtering and phase shifting networks( 2 turns)

Diode characteristics

Characteristics of rectifiers and diode applications

Transistor characteristics and common emitter amplifier ( 2 turns)

Differential amplifier

Op-amp Measurements ( 2 turns)

Schmitt and integrator ( 2 turns)

B. Optics (1 turn /week)

Cauchy's relation

Michelson Interferometer

Jamin Interferometer

Spatial Coherence

Fresnel's equation

Polarization - Malus law

Diffraction Grating

Diffraction effects at multiple objects

Polarization - state of polarization

Fiber optics

Laser diffraction ( 2-3 experiments in 2 turns)

Semester – 5

A. Advanced Electronics ( 2 turns / week)

(a) Analog Electronics: (half semester: 6 -7 turns))

Two-stage common emitter amplifier

Stabilized Power suply (Transistor series regulator)

Applications of OP-AMP

comparator, integrator, differentiator, frequency filters,

oscillator (sine and square wave)

(b) Digital Electronics: (half semester: 6-7 turns)

logic circuits

microprocessor based experiments

B. Computational Lab (2 turns / week)

Language: C++ ( adequate background is expected from Previous programming Lbas in earlier semesters)

(a) Numerical Methods: algorithm will be developed in C++.

Statistical description of data: Mean, Variance etc.

Finding zeroes of a function

Differentiation, Integration

Matrix algebra

Differential equations

Advanced: Development of algorithm based on ROOT and MATLAB to do the following:

Differentiation, Integration, Matrix Algebra (ROOT)

Fourier Transformation, Wavelet Transformation etc. (MATLAB)

Semesters 6 and 7

Nuclear Physics Lab (2 turns / week, to be divided over 6th and 7th Semesters)

G.M. Counter

Determine the operating voltage

Absorption Coefficient of gamma ray

Statistics of nuclear counting

Study of scintillation spectrometer

Using the scintillation spectrometer find the gamma ray energies of an unknown source with the help of the known sources.

137 Cs (photopeak : 662 KeV)

(ii) 60 Co (photopeak : 1173.2 KeV, 1332.5 KeV)

Compton Scattering

Determine the energy of Compton scattered photon at the angle

THETA and compare the result with the theoretically calculated value

Angular correlation of gamma rays from 60 Co.

Muon life time measurement

2. Laser & Spectroscopy (2 turns /week, to be divided over 2 6th and 7th Semesters)

Spin-orbit interaction (atomic)

Molecular vibrational spectrum (molecular)

Intensity response of a photodetector

Laser beam parameter

Alignment of a grating spectrometer

Laser cavity design parameter

Zeeman effect (L-G plate using constant deviation spectrometer)

Pockel's effect

3. Solid State Physics (2 turns /week(except *), to be divided over 6th and 7th Semesters)

Hysteresis and ac succeptibility

Curie temeperature measurement (1 turn)

Temperature dependent resistivity of semiconductor by four probe method, determination of band gap

Minority carrier lifetime in semiconductor

Hall Effect – determination of carrier density and mobility

Electron spin resonance (1 turn)

Nuclear magnetic resonance

Dielectric constant – at microwave frequencies, frequency dependence

X-ray diffraction and absorption experiments (table top)

Thermoelectric Power measurement

Semester – 8

These should be open ended experiments based on the local research interest and available expertise.