M. Sc. (Physics):Liquid Crystals:Advanced Quantum MechanicsThapar University
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Physics Lab I
Fundamentals of Computer Science and C Programming
Condensed Matter Physics
Experimental Techniques in Physics
Atomic and Molecular Physics
Physics Lab II
Physics Lab III
Advanced Quantum Mechanics
Relativistic Quantum Mechanics: Klein-Gordon equation, Dirac equation and its plane wave solutions, solution of Klein Gordan equation for a particle with coulomb potential, significance of negative energy solutions, spin angular momentum of the Dirac particle. The non-relativistic limit of Dirac equation, Electron in electromagnetic fields, spin magnetic moment, spin-orbit interaction, Dirac equation for a particle in a central field, fine structure of hydrogen atom, Lamb shift.
Field Quantization: Classical field theory, Lagrangian and Hamiltonian formalism of a particle in an electromagnetic field, Second quantization, Concepts and illustrations with Schrödinger field, Creation, annihilation and number operator.
Relativistic Quantum Field Theory: Quantization of a real scalar field and its application to one meson exchange potential. Quantization of a complex scalar field, Dirac field and e.m. field, Commutation relations, Covariant perturbation theory,
Interaction: Yukawa interaction, Coupling of electron and electromagnetic field, Global and guage invariance Feynman diagrams, Feynman rules, Feynman graphs for Compton and e-e scattering, Path integration method: Probability amplitude as path integral, action, free particle and harmonic oscillator motion, Wick's Theorem. Scattering matrix.