B.Tech Physics

 

PH 303                            Quantum Mechanics-II                          2-1-0-6

 

 

Syllabus: Approximation methods for stationary states: time-independent perturbation theory, the variation method and the Wentzel–Kramers–Brillouin (WKB) method. Time Dependent Perturbation Theory: The Schrodinger and the Heisenberg pictures, Heisenberg equations of motion, the interaction picture; Two-level systems, sinusoidal perturbation, Fermi's Golden Rule; the adiabatic and sudden approximation. Special topics in radiation theory: semi-classical treatment of interaction of radiation with matter, Einstein's coefficients, spontaneous and stimulated emission and absorption, application to lasers. Scattering Theory: Born approximation, scattering cross-section, partial wave analysis, phase shifts Foundations of Quantum mechanics: EPR paradox; Bell’s theorem, the no-clone theorem, Schrodinger’s Cat.

 

Texts:

  1. R. Shankar, Principles of Quantum Mechanics, Springer India, 2008.
  2. D. J. Griffiths, Introduction to Quantum Mechanics, 2nd Edition, Pearson Education, 2005.
  3. J. J. Sakurai, Modern Quantum Mechanics, Pearson Education, 2002.

 

References:

  1. Merzbacher, Quantum Mechanics, John Wiley Asia, 1999.
  2. Kumar, Fundamentals of Quantum Mechanics, Cambridge University Press, 2018.
  3. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, New York, 1974.
  4. H. Bransden and C. J. Joachain, Quantum Mechanics, Pearson, 2000.