QUANTUM ELECTRONICS

PHYSICS 732

Interaction of electromagnetic radiation with matter, quantization of the electromagnetic field, spontaneous transitions, identical particles and spin, addition of angular momenta, tensor operators, complex atoms, Hartree approximation, molecules, Dirac equation, relativistic effects in atoms.

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 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.