MATH 8338 Mathematical Foundations of Statistical and Quantum Mechanics

This course will introduce students to key concepts in the mathematics of statistical and quantum mechanics. Topics covered will include Hilbert spaces, linear operators, Poisson algebras, canonical quantization, and measure spaces. Applications will include the quantum harmonic oscillator, statistical ensembles, partition functions, Bose-Einstein statistics, entropy, and ergodic theorems.

Credits

3

Prerequisite

Consent of instructor.

Schedule Type

Lecture

Grading Basis

Standard Letter (A-F)

Offered

As scheduled.