MAT 648: Advanced Topics in Quantum Mechanics

Schedule: TuTh 12:50-2:10 pm, Math Tower 5-127.

Instructor: Leon Takhtajan, Math Tower 5-111, email: leontak@math.sunysb.edu Phone: 632-8287,  Office hours: Tu & Wed 4-5 pm, in 5-111, and by appointment.

Topics covered:

• Feynman's path integral formalism and related Wiener's theory of functional integration
  
• Perturbation theory and Feynman diagrams
  
Regularized determinants of elliptic operators

• Sypersymmetry and path integral formalism for fermions
• Path integral derivation of Atiyah-Singer formula for the index of the Dirac operator and other examples
  

Lecture Notes: Lecture notes for the class will regularly posted.

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site: http://www.www.ehs.stonybrook.edu/fire/disabilities.asp