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)
Quantum Mathematical Physics, Thirring, ($111)
Search by ISBN on Amazon: 3-540-43078-4

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.