Quantum Theory 2

Syllabus

• Hilbert space.
• The probability matrix.
• Unitary operations:
• Displacements, Rotations, Boosts, Gauge.
• Unitary representations of rotations and the spin concept.
• Actual procedure for building rotation matrices.
• Addition of angular momentum (elementary).
• Perturbation theory.
• Wigner decay.
• Fermi golden rule.
• The adiabatic equation.
• Particle in a few site system.
• Particle in 1D ring and AB effect.
• Particle in a uniform magnetic field (Landau, Hall).
• Spin a in magnetic field.

Sources:

1. L.E.Ballentine, Quantum Mechanics (library code: QC 174.12.B35).
2. J.J. Sakurai, Modern Quantum mechanics (library code: QC 174.12.S25).
3. Feynman Lectures Volume III.

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