Problems & Solutions in Quantum Mechanics

Basic Principles

Quantum effects at macroscopic scales, Compton scattering, photoelectric effect, Bohr model, de Broglie wavelength, and foundational concepts.

Uncertainty, Wells & Delta Potentials

Heisenberg uncertainty relations, infinite and finite square wells, delta-function potentials, bound states, and scattering states.

Harmonic Oscillator & Tunneling

Quantum harmonic oscillator, ladder operators, coherent states, tunneling through barriers, and WKB approximation.

Band Structure, Sum Rules & Advanced

Periodic potentials, energy bands, Thomas-Reiche-Kuhn sum rule, virial theorem, and advanced one-dimensional problems.