PHY 411 :  Quantum Mechanics II
(August - December, 2010)

This is part-2 of the course on non-relativistic quantum mechanics.
The course page of Quantum Mechanics I is here.

Course contents :
Central potential, angular momentum and spin
Approximation methods (WKB, variational, perturbation)
Scattering theory
Some advanced topics.

Books :
Principles of quantum mechanics by R. Shankar
Quantum mechanics by Franz Schwabl
Quantum mechanics (volume 1 and 2) by C. Cohen-Tannoudji, B. Diu and R. Laloe
Quantum mechanics by L. Schiff
Quantum mechanics : An Introduction by Walter Greiner

Evaulation :
Class tests : 25 %
Midsem     : 25 %
Final         : 30 %
Seminar    : 20 %

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For the seminar, you can choose one of the following papers. Towards the end of
the semester, you will have to give a seminar.

• Stern-Gerlach measurements with arbitrary spin : Quantum combs
  Am. J. Phys 68, 49 (2000).

• Quantum mechanics of the 1/x² potential
  Am. J. Phys 74, 109 (2005).

• A simple approach to Landau-Zener formula
  Eur. J. Phys. 31, 389 (2010).

• Density of states in an optical speckle potential
  ArXiv:1008.0589

• Position and momentum information entropies of the D-dimensional harmonic oscillator
  Phys. Rev. A 50, 311 (1994).

• An experimental test of non-local realism
  Nature 446, 871 (2007).

• Extreme ultraviolet frequency comb metrology
  Phys. Rev. Lett. 105, 063001 (2010).

• The quantum mechanics of electric conduction in crystals
  Am. J. Phys. 78, 954 (2010).

• Single photon quantum erasing : a demonstration experiment
  Eur. J. Phys. 31, 625 (2010).

• Entangled quantum particles in an infinite square well
  Eur. J. Phys. 31, 193 (2010).

• Smooth double barriers in quantum mechanics
  ArXiv:1008.1640

• Precision life-time experiments of a single trapped ion with ultrafast laser pulses
  Phys. Rev. A 73, 023413 (2006).

• Imaging of microwave fields using ultra cold atoms
  Applied Phys. Lett. 97, 051101 (2010).

• Quantum tunneling time
  Am. J. Phys. 73, 23 (2005).

• Nonspreading wave packets
  Am. J. Phys. 47, 264 (1979).

• Probabilistic interpretation of resonant states
  Pramana 73, 553 (2009).

• New potentials for old : The Darboux transformation in quantum mechanics
  J. Chem. Education 85, 576 (2008).

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