Course Title:
Mathematical Methods of Quantum Mechanics
Course Description:
Introduces the basics of quantum mechanics for mathematicians. Introduces the von Neumann’s axiomatics of quantum mechanics with measurements in the first part of the course. Discusses the notions of observables and states, as well as the connections between the quantum and the classical mechanics. The second (larger) part is dedicated to some concrete quantum mechanical problems, such as harmonic oscillator, one-dimensional problems of quantum mechanics, radial Schr÷dinger equation, and the hydrogen atom. The third part deals with more advanced topics, such as perturbation theory, scattering theory, and spin.
Fall Offering:
None
Lab/Coreq 1:
Spring Offering:
None
Lab/Coreq 2:
Summer Offering:
None
Lab/Coreq Remarks:
Summer 1 Offering:
None
Prerequisite 1:
MTH G102
Summer 2 Offering:
None
Prerequisite 2:
MTH G111
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Knowledge of functional analysis and classical mechanics is recommended.
Cross-Listed Course 5:
Repeatable:
N
