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Indian Institute of Science Education and Research Bhopal
PHY 304: Quantum Mechanics II (4)
Prerequisite: PHY 303 Quantum Mechanics I, PHY 301 Mathematical Methods I
Theory of Spin: Stern-Gerlach experiment; Formulation of spin ½ states; Pauli matrices; Addition of angular momentum
Approximation Methods for Stationary States: Time Independent Perturbation Theory: Formalism; Applications to relativistic corrections (‘fine structure corrections’) to atom (a) Relativistic K.E, (b) Spin-Orbit couplings, (c) Darwin term; WKB method: Descriptions of tunneling Variational method: Application to He atom ground state
Time Dependent Phenomena: Formalism; Fermi’s Golden rule; Adiabatic approximations; Application to matter-radiation interactions; Emissions and absorptions of photons; Selection rule for electric dipole transitions; Applications to Lasers
Scattering by a Potential: Formalism; Born approximations; Partial wave analysis
Symmetries in quantum mechanics
Relativistic Quantum Mechanics: Klein Gordon Equation; Dirac Equation; Plane wave solutions; Negative energy states; Spin; Magnetic moments; Non-relativistic limit of the Dirac equation
Suggested Books:
- H. C. Verma, Quantum Physics.
- R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lecture of Physics Vol 3.
- J. J. Sakurai, Modern Quantum Mechanics.
- B. H. Bransden and C. J. Joachain, Quantum Mechanics.
- D. J. Griffiths, Introduction of Quantum Mechanics.
- P. A. M. Dirac, The Principles of Quantum Mechanics.
- C. Cohen-Tannoudji, Quantum Mechanics, (Vol I and II).
- R. Shankar, Principles of Quantum Mechanics.
- I. M. Rae, Quantum Mechanics.
- E. Merzbacher, Quantum Mechanics.
- L. D. Landau and L. M. Lifshitz, Quantum Mechanics Non-Relativistic Theory.
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