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Caltech Course Catalog / 2025-2026 Catalog / Courses 2025-26 / Topics in Mathematical Physics

Ma 148 ab - Topics in Mathematical Physics

Ma 148 ab

Topics in Mathematical Physics

9 units (3-0-6)   |  third term

This course covers a range of topics in mathematical physics. The content will vary from year to year. Topics covered will include some of the following: Lagrangian and Hamiltonian formalism of classical mechanics; mathematical aspects of quantum mechanics: Schroedinger equation, spectral theory of unbounded operators, representation theoretic aspects; partial differential equations of mathematical physics (wave, heat, Maxwell, etc.); rigorous results in classical and/or quantum statistical mechanics; mathematical aspects of quantum field theory; general relativity for mathematicians. Geometric theory of quantum information and quantum entanglement based on information geometry and entropy. Part b not offered 2025-26.

Instructor: Looi
Published Date: Aug. 29, 2025