M.Sc. Physics

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1 M.Sc. Physics Curriculum & Brief Syllabi (2012) DEPARTMENT OF PHYSICS NATIONAL INSTITUTE OF TECHNOLOGY CALICUT

2 CURRICULUM FOR POST-GRADUATE PROGRAM LEADING TO M.Sc. DEGREE IN PHYSICS PROGRAM DETAILS Name of Degree Name of Specialization Intake (Full-time) Year of Starting Proposed Duration M.Sc. PHYSICS years Name of Degree & Eligibility for Admission Bachelor s degree with at least 60% marks / 6.5 CGPA (on 10 scale) or equivalent, with Physics as main and Mathematics as a subsidiary subject OR with Physics and Mathematics among the main subjects. For SC/ST candidates 50% marks or CGPA 5.5/10 in aggregate in the qualifying examination PROGRAM STRUCTURE I SEMESTER Sl. No. Course Code 1 PH6201 Mathematical Physics I PH6202 Classical Mechanics PH6203 Electromagnetic Theory PH6204 Electronics - I PH6281 Electronics Lab PH6282 General Physics Lab PH 6285 Numerical & Computational Physics Lab Total

3 II SEMESTER Sl. Course No. Code 1 PH6205 Mathematical Physics II PH6206 Quantum Mechanics I PH6207 Statistical Mechanics PH6209 Modern Optics PH6211 Condensed Matter Physics - I PH6284 Optics Lab PH6294 Solid State Physics Lab PH6296 Electromagnetics Lab Total III SEMESTER Sl. No. Course Code 1 PH7210 Quantum Mechanics II PH7213 Atomic and Molecular Physics PH 7218 Nuclear and Particle Physics Elective I Elective II Elective III (Lab) PH7286 Seminar Total IV SEMESTER Sl. No. Course Code 1 PH7290 Project Total TOTAL CREDITS = = 70; AVERAGE CREDITS PER SEM = 17.5

4 ELECTIVES The department may offer electives based on student s choice, provided at least 6 students opt for a particular elective and also based on faculty availability. Courses at level of M. Tech. or any other M. Sc program in NIT Calicut may be chosen as elective based on student s interest after discussing with the faculty advisor. LIST OF ELECTIVES Sl. No. Course Code 1 PH7260 General Theory of Relativity PH7261 Experimental Techniques PH7262 Physics of Climate PH7263 Atmospheric Dynamics PH7270 Electronics - II PH7271 Solid State Devices PH7272 Communication Theory PH7275 Condensed Matter Physics - II PH7276 Phase Transitions & Critical Phenomena PH7277 Organic Electronics PH7278 Magnetic Resonance PH7279 Topics in Condensed Matter Theory PH7281 Laser Physics PH7282 Optoelectronics PH7283 Fiber & Integrated Optics PH7284 Photonic Band Gap Structures PH7292 Advanced Electronics Lab PH7293 Advanced Solid State Physics Lab PH7294 Advanced Optics Lab

5 BRIEF SYLLABI PH6201: MATHEMATICAL PHYSICS - I Brief Syllabus: Functions, curve sketching, infinite series, multiple integrals, scalar and vector fields, vector analysis, tensors, vector spaces, differential equations, Frobenius method, Special functions Bessel functions, Legendre polynomials, Spherical harmonics, Fourier series, partial differential equations, separation of variables, integral transforms, non-linear equations. PH6202: CLASSICAL MECHANICS Brief Syllabus: Equations of motion and integration, calculus of variations, Lagrange s equations, Kepler s problem, system of oscillators, rigid body motion, motion in non-inertial reference frames, scattering, Hamilton s equations, canonical transformations, Poisson bracket formulation, Hamilton-Jacobi equation, action-angle variables, Galilean transformation, Special theory of relativity PH6203: ELECTROMAGNETIC THEORY Brief Syllabus: Electrostatics, Magnetostatics, Electrodynamics, Maxwell s equations Electromagnetic wave in different media. Absorption and dispersion - frequency dependence. Waveguides modes. Resonance cavity. Potentials and fields- Scalar and vector potential radiation from dipoles and arbitrary source. PH6204: ELECTRONICS - I Brief Syllabus: Basic Op-amp application, instrumentation amplifier and characteristics, operational transconductance amplifier, the use and advantages of active filters, IC 566 -voltage controlled oscillator operating principles and applications; IC 565- phase locked loop operating principles and applications. PH6281: ELECTRONICS LAB Brief Syllabus: Experiments involving operational amplifiers. Experiments involving Digital Logic circuits. Experiments using 8085 microprocessor trainer kits. PH6282: GENERAL PHYSICS LAB Brief Syllabus: Experiments Involving properties of matter, semiconductors, optics, acoustics etc.

6 Total Hours: 56 PH6285: NUMERICAL AND COMPUTATIONAL PHYSICS LAB Brief Syllabus: Matlab introduction, graphics and curve plotting, linear algebra and matrix methods, C and FORTRAN 90 programming, Integration and ODE solutions, Fourier Transforms and FFT, Labview and applications, Monte Carlo and Molecular Dynamics. Prerequisites: PH6201 Mathematical Physics - I PH6205: MATHEMATICAL PHYSICS II Brief Syllabus: Complex functions, analytic functions, Cauchy-Riemann condition, Cauchy s integral theorem, Residue theorem, Partial differential equations, wave equation, heat equation, Laplace equation, Discrete, finite groups, Abelian gropus, representations, orthogonality theorem, character tables, Probability distributions, Moments and generating functions, Central Limit Theorem PH6206: QUANTUM MECHANICS - I Brief Syllabus: Dirac formalism, Born interpretation, measurement theory, time evolution, Schrödinger equation, applications of quantum mechanics to simple systems, semi-classical approaches WKB method, rotations, angular momentum, central field, hydrogen atom, symmetry, conservation laws, density matrix, partition function, path-integral formalism. PH6207: STATISTICAL MECHANICS Brief Syllabus: Models of macroscopic systems, macro states and micro states, phase space, Liouville's theorem, postulate of equilibrium statistical mechanics, Maxwell-Boltzmann distribution, applications of classical statistical mechanics, quantum statistics, systems of identical, indistinguishable particles, Bose-Einstein and Fermi-Dirac distributions, applications and examples of quantum statistics, phase transitions, Ising and Heisenberg models, microscopic simulations. PH6209: MODERN OPTICS Brief Syllabus: Maxwell s equations Electromagnetic wave in different media, Mathematical description of polarization of light. Interference and Interferometer. Geometrical optics, Fermat s principle, Lens and resonators, Coherence of light, Fourier Optics and applications

7 PH6211: CONDENSED MATTER PHYSICS - I Brief Syllabus: Crystalline and noncrystalline solids, bonding, crystal symmetry, lattices and basis, reciprocal lattice, Bragg's law of diffraction, Brillouin zone, lattice dynamics, normal modes of lattice vibration, phonons, specific heat, thermal expansion, thermal conductivity, free electron theory of metals, Hall effect, electronic specific heat, Fermi surface, formation of energy bands, Bloch theorem, band gaps, insulators, conductors and semiconductors, effective mass, holes, diamagnetism, paramagnetism, ferromagnetic, antiferromagnetic and ferrimagnetic crystals, superconductivity, Meissner effect, BCS theory. PH6284: OPTICS LAB Brief Syllabus: Experiments based on polarization, Reflection, Refraction, Diffraction, Interference and Coherence. PH6294: SOLID STATE PHYSICS LAB Brief Syllabus: Experiments based on measurement of resistivity, Hall coefficient, Magnetic susceptibility, etc. PH6296: ELECTROMAGNETICS LAB Total Hours: Brief Syllabus: Experiments based on microwave radiation and waveguides, with required theoretical concepts. Prerequisites: PH 6206 Quantum Mechanics I PH7210: QUANTUM MECHANICS - II Brief Syllabus: Addition of angular momentum, identical particles, exchange, exclusion principle, stationary state perturbation theory, time dependent perturbation, transition rate, Fermi golden rule, scattering theory, variational theorem, Semi-classical radiation theory, absorption and emission, dipole transitions, spontaneous emission, simulated emission, Berry s phase, relativistic effects, Klien-Gordon equation, Dirac equation.. PH7213: ATOMIC AND MOLECULAR PHYSICS Brief Syllabus: Two electron atoms, variational method, many-electron atoms, Hartree-Fock approximation, LS and JJ coupling schemes, Thomas-Fermi model of atom, transition probability, absorption and emission, dipole transitions, polarization, oscillator strength, line intensities and line shape, excited state lifetime, diatomic molecular structure, molecular binding, LCAO method, molecular orbitals, symmetry and structure, structure of polyatomic molecules, spectra of diatomic molecules, electronic, rotational, vibrational and Raman spectroscopy, scattering, potential scattering, laser cooling and trapping, Bose- Einstein condensation, atom optics

8 PH7218: NUCLEAR AND PARTICLE PHYSICS Brief Syllabus: Properties of nuclei, nuclear decay, nuclear binding energies, nuclear forces, nuclear models shell structure; Magic numbers, liquid drop model. Nuclear decay, Fermi s theory of beta decay, non-conservation of parity in beta decay, Energetic of gamma decay, Theory of alpha particle emission, Nuclear reactions, Particle interactions and families, symmetries and conservation laws, the quark model; The neutrino, CP violation, Grand unified theories, Radiation interaction with matter, radiation detection, particle accelerators, ion beams, experimental techniques in nuclear and particle physics. PH7286: SEMINAR The students will be assigned with suitable topics for seminar of one hour duration. PH7290: PROJECT The students will be assigned with suitable projects for six months duration at the institute and/or research establishment and industry outside.

PHYSICS. Course Syllabus. Section 1: Mathematical Physics. Subject Code: PH. Course Structure. Electromagnetic Theory

PHYSICS. Course Syllabus. Section 1: Mathematical Physics. Subject Code: PH. Course Structure. Electromagnetic Theory PHYSICS Subject Code: PH Course Structure Sections/Units Topics Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Mathematical Physics Classical Mechanics Electromagnetic