MATH 577 Supersymmetric Quantum Mechanics

Review of Schrodinger equation. Factorization method. Construction of the hierarchy of Hamiltonians. Partner Hamiltonians. Examples- Harmonic oscillator and Morse potential. Supersymmetry and the radilal Problem. Isotropic oscillator. Breaking of SUSY in Quantum Mechanics. Supersymmetric WKB Approximation. Witten’s index. Examples: Electron in magnetic field.