Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
MAT 265: Mathematical Quantum Mechanics
Approved: 2009-07-01, Andrew Waldron
Units/Lecture:
Fall, alternate years; 4 units; lecture/term paper or discussion
Suggested Textbook: (actual textbook varies by instructor; check your
instructor)
Prerequisites:
MAT 201 or consent of instructor.
Course Description:
Mathematical foundations of quantum mechanics: the Hilbert space and Operator Algebra formulations; the Schrodinger and Heisenberg equations, symmetry in quantum mechanics, basics of spectral theory and perturbation theory. Applications to atoms and molecules. The Dirac equation.
Suggested Schedule:
| Topics/Comments |
|---|
| Topics vary according to Instructor |
| Foundations of quantum mechanics |
| The Hilbert space and operator algebra formulations |
| The Schrodinger and Heisenberg equations |
| Analysis of simple systems |
| Symmetry in quantum mechanics |
| Representations of SU(2) and spin |
| Spectral theory of Schrodinger operators |
| Perturbation theory |
| Applications to atoms and molecules |
| The Dirac equation |
Additional Notes:
Additional reference book: Operator Algebras and Quantum Statistical Mechanics, O. Bratteli and D. W. Robinson, ISBN-13: 978-3540170938 - Comment: Can vary, consult instructor.