Supersymmetric Quantum Mechanics

Autumn 2007, Fridays at 11:30, Sieg 229

Previous Superseminar notes, by Matt Ballard and Josh Kantor:

• Notes on Quantum Mechanics and Quantum Field Theory (PDF)
• Outline of Classical Mechanics (PDF)
• Outline of Classical Field Theory (PDF)
• Quantum Field Theory and the Free Scalar Field (PDF)

Week 1 & 2: Quantum Mechanics (PDF), Robert L Miller.

Our First Goal will be to understand Edward Witten's Paper:
Supersymmetry and Morse Theory (PDF). Topics we will need to cover, together with some references:

• The Hamiltonian and Lagrangian formulations of Quantum Mechanics:
  
  • Foundations of Mechanics (PDF), 2nd ed., by Ralph Abraham and Jerrold E Marsden.
  • Introduction to Quantum Field Theory for Mathematicians (DJVU), by Jeffrey M. Rabin.
  • Some lecture notes, by Michael G. Faux.
• The Floer-Witten interpretation of Morse Theory:
  
  • Morse theory, Conley index, and Floer Homology (PDF), by Dietmar Salamon.
  • Morse Homology (Amazon link only), by Matthias Schwarz.
  • Instantons Beyond Topological Theory I (PDF), by E. Frenkel, A. Losev, N. Nekrasov.
  • Morse field theory (PDF), by Ralph L. Cohen, Paul Norbury.