MATH.5330 Mathematical Methods in Quantum Mechanics

Id: 042468 Credits: 3-3

Description

The course aims to give a brief and self-contained introduction to the mathematical methods of quantum mechanics. Although the materials are related to physics, they are presented in a more mathematical way so that students will have a chance to see frontiers in mathematical physics research. The first part of the course shows the route from Newton (classical mechanics) to Schrodinger (quantum mechanics). The second part emphasizes on functional analysis and spectral theory. The last part will focus on spectral theory of Schrodinger operators.

Prerequisites

MATH.2310 Calculus III, and MATH.2210 Linear Algebra I, and MATH.2340 Differential Equations, or MATH.2360 Engineering Differential Equations, or Permission of Instructor.

View Current Offerings

Course prerequisites/corequisites are determined by the faculty and approved by the curriculum committees. Students are required to fulfill these requirements prior to enrollment. For courses offered through online or GPS delivery, students are responsible for confirming with the instructor or department that all enrollment requirements have been satisfied before registering.