QUANTUM MECHANICS

ECE 835

Light-matter interactions with quantum systems and their applications in quantum computing, communications, and sensing. Brief review of quantum mechanics and derivation of quantum structure of atoms. Deeper exploration of concepts and applications of quantum optics (such as use of nonclassical light, entangled photons) and experimental techniques on how to control and measure quantum systems with photons (including atom cooling and trapping, coherent interactions, putting atoms in cavities). Knowledge of introductory-level classical electromagnetism (such asE C E 220orPHYSICS 202) and modern physics (such asPHYSICS/​E C E  235orPHYSICS 241) required.

PHYSICS 832

Continuation ofPHYSICS 831. Quantum theory of free and interacting fields, formal scattering theory, dispersion theory.

PHYSICS 731

Schrodinger equation, operator theory, matrix mechanics, transformation theory, Heisenberg representation, orbital angular momentum, bound-state problems, scattering theory, stationary perturbation theory, degenerate systems, time-dependent perturbation theory, Born approximation, other approximation methods. Knowledge of quantum mechanics and atomic physics (such asPHYSICS 449or531) strongly encouraged.

PHYSICS 545

Nuclear atom; hydrogen atom; Bohr-Sommerfeld model, wave model, electron spin, description of quantum electron spin, description of quantum electrodynamic effects; external fields; many-electron atoms; central field, Pauli principle, multiplets, periodic table, x-ray spectra, vector coupling, systematics of ground states; nuclear effects in atomic spectra; interaction with coherent radiation, optical forces, laser cooling and trapping.

PHYSICS 448

Review of atomic and other quantum phenomena and special relativity; introduction to quantum mechanics treating the more advanced topics of atomic physics and applications to molecular, solid state, nuclear, and elementary particle physics and quantum statistics.