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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