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  • 3:09 PM, Sunday, 24 Oct 2021


Course Dual Degree (B. Tech + Master of Science / Master of Technology)
Semester Sem. VII
Subject Code PH416
Subject Title Quantum Mechanics II

Syllabus

Approximation methods: Variational methods, WKB approximation; time-indepdndent perturbation theory; time-dependent perturbation theory: Interaction picture, Fermi's golden rule, sudden and adiabatic approximations. Scattering theory: Transition rates and cross sections, Lippmann-Schwinger equation, scattering amplitude, Green's functions; Born approximation; phase shifts and partial waves. Symmetries in quantum mechanics: Continuous symmetries: space and time translations, rotations; rotation group and its irreducible representations; Irreducible spherical tensor operators, Wigner-Eckart theorem. Discrete symetries: parity and time reversal. Identical particles: Meaning of identity and consequences; symmetric and antisymmetric wavefunctions; Slater determinant. Relativistic Quantum Mechancis Klein-Gordon equation; Dirac equation, free particle solution, electromagnetic interaction of the Dirac particle, spin and magnetic moment of the electron. Special topics: Path integral formalism; basics of quantum information: entanglement, Einstein-Podolsky-Rosen paradox, Bell's inequality, coherent states.

Text Books

1. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley.

2. R. Shankar, Principles of Quantum Mechanics, Springer.

3. C. Cohen-Tannoudji, et al., Quantum Mechanics, Wiley-Interscience.

4. A Peres, Quantum Theory: Concepts and Methods, Kluwer Academic Publishers.

References

Information Not Available