MAT 560: Mathematical Physics I
Fall 2019
- Classical mechanics, including Lagrangian and Hamiltonian formulations, symmetries and integrable systems (planetary motion).
- Classical field theory, including scalar and vector fields, sigma models and gauge theories (Yang-Mills theory). Electromagnetism as U(1) gauge field theory.
- Chern--Simons topological theory (time permitting)
For classical mechanics, we will be using the following sources:
- Quantum Mechanics for Mathematicians, by Leon Takhtajan; the first chapter is available online at math.sunysb.edu/~leontak/CM.pdf.
- Mathematical Methods of Classical Mechanics, by V. Arnold
- Notes on Hamiltonian formalism -- very brief notes of this course.
- Introduction to Classical Field Theory, by Charles Torre
- Classical Field Theory, by Horatiu Nastase
- MAT 560 notes by Leon Takhtajan
- Geometry of Yang-Mills fields by Michael Atiyah
- Geometry, Topology, and Physics, by Mikio Nakahara
Information for students with disabilities: If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at (631) 632-6748 or http://studentaffairs.stonybrook.edu/dss/. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: http://www.sunysb.edu/ehs/fire/disabilities.shtml