Analytical Mechanics: Lagrangian and Hamiltonian formulation, constrained systems, symmeetries and conservation laws, variiational principle, canonical transformations and Hamilton-Jacobi theory, central force problem, rigid body motion, small oscillations.
Suggested Reference: H. Goldstein "Classical Mechanics"
Related Course: PHYS 502
Electromagnetic Theory (I, II): Electrostatics, magnetostatics, Maxwell's Equations, plaıne electro- magnetic waves, radiation from moving charges, introduction to special relativity and the covariant formulation.
Suggested Reference: J. D. Jackson "Classical Electrodynamics"
Related Courses: PHYS 505, PHYS 506
Quantum Mechanics (I, II): Quantum dynamics, angular momentum, tiime independent and time dependent approximation methods, identical particles and second quuantization, quantum theory of radiation, Dirac equation, scattering.
Suggested References: E. Merzbacher "Quantum Mechanics" J.J. Sakurai "Modern Quantum Mechanics" Bjorken-Drell "Relatiivistic Quantum Mechanics"
Related Courses: PHYS 507, PHYS 508
Methods of Mathematical Physics (I, II): Functions of a compleex variable, speciial functions of mathematical physics, partial differential equations. Integral equations, series, calculus of variations, Green's functions.
Suggested References: George Arfken, "Mathematical Methods for Physicsts" Byron and Fuller, (vol, I, II) "Mathematics of Classical Quantum Mechanics" E. Butkov "Mathematical Physics"
S. Bayin "Mathematical Methods in Scince and Engineering"
Related Courses: PHYS 503, PHYS 504
Statistical Mechanics: Elements of the classical and quantum statistics, the partition function, ideal Fermi gas, ideal Bose gas, phase transitions.
Suggested References: K. Huang, "Statistical Mechanics" R.K. Pathria "Statistical Mechanics" F. Mandl, "Statistical Physics"
Related Course: PHYS 501