CMI 2021 Physics Syllabus

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Physics Syllabus -2018

I. Classical Mechanics: Newtonian Mechanics, Variational Principles & Lagrange’s Equations, The Central Force Problem, Kinematics and Dynamics of Rigid Bodies, Small Oscillations, Hamilton’s Equations, Canonical Transformations, Hamilton-Jacobi Theory, Special Relativity.

II. Quantum Mechanics: Physical Basis of Quantum Mechanics, Schrodinger Equation, Operators, Eigen functions, Eigen values, Wave packets, One Dimensional Bound State and Scattering Problems, Harmonic Oscillator, Angular Momentum, Hydrogen Atom, Collisions in Three Dimensions, Scattering from Spherically Symmetric Potentials, Matrix Formulation of Quantum Mechanics, Symmetry in Quantum Mechanics, Identical Particles and Spin, Stationary Perturbation Theory (Degenerate and Non degenerate cases), Variational Method, WKB Approximation, Time-dependent Perturbation Theory, Green’s functions, Scattering Matrix, Born Approximation and Partial Wave Analysis.

III. Electrodynamics: Electrostatics, Electric Field in Matter, Conductors, Dielectrics, Magneto statics, Magnetic Fields in Matter, Electrodynamics, Maxwell’s Equations, Conservation Laws, Electromagnetic Waves, Potentials and Fields, Radiation, Special Relativity.

IV. Statistical Mechanics: Thermodynamics and Kinetic Theory: Laws of Thermodynamics and Applications, Maxwell-Boltzmann Distribution, Transport Phenomena, Conservation Laws, Hydrodynamics; Classical and Quantum Statistical Mechanics: Micro canonical, Canonical, and Grand Canonical Ensembles, Density Matrix, Ideal Gases, Partition Function, Ideal Fermi Gas, Ideal Bose Gas, Phase Transitions

V. Mathematical Physics: Matrices and Linear Algebra, Ordinary Differential Equations, Complex Analysis and Partial Differential Equations, Fourier series and transforms

For other details visit,

https://www.cmi.ac.in/admissions/brochure/2017/cmi-brochure-2017.pdf