Quantum Mechanics I
### Quantum Mechanics I (Fall '17)

Text and reference books: J. Sakurai, Modern Quantum Mechanics (main);
C. Cohen-Tannoudji, Quantum Mechanics;
L. Susskind, Quantum Mechanics (Theoretical Minimum);

A. Beiser, Perspectives of Modern Physics;
Landau and Lifshitz, Quantum Mechanics (Course of Theoretical Physics, Vol.3), Schiff;
and so on. Two classics are Dirac's monograph and the Feynman lectures
(vol.3).

Course outline: brief overview of aspects of modern physics
(photoelectric effect, atomic spectra and the Bohr atomic model,
de Broglie waves, interference experiments, blackbody radiation).

Quantum mechanics -- Stern-Gerlach experiments, double slit experiments,
interference of amplitudes, Dirac kets/bras/operators, matrix
representations, uncertainty relations, position/momentum operators, time
evolution and the Schrodinger equation, Schrodinger/Heisenberg pictures.

Harmonic oscillator (creation-annihilation operators etc), position space
representations and Schrodinger's equation, potential wells
(reflection/transmission, tunnelling), the harmonic oscillator and Hermite
polynomials.

Angular momentum and addition, Clebsch-Gordan coefficients etc.

Short module on quantum entanglement: EPR; QM and Bell's inequalities;
2 spins, entangled states and entanglement entropy.

(Tentative) Regular assignments. 30%.

Midsem exam, 35%,

Endsem exam, 35%.

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