Supersymmetric quantum mechanics and integrability

Fredrik Engbrant
Uppsala University
Monday, March 5, 2012 - 14:00 - 15:00
Oseenska rummet 73121
Theoretical Physics

This master's thesis investigates the relationship between supersymmetry and integrability in quantum mechanics. This is done by finding a suitable way to systematically add more supersymmetry to the system. Adding more supersymmetry will give constraints on the potential which will lead to an integrable system. A possible way to explore the integrability of supersymetric quantum mechanics was introduced in a paper by Crombrugghe and Rittenberg in 1983, their method has been used as well as another approach based on expanding a N = 1 system by introducing complex structures. N = 3 or more supersymmetry is shown to give an integrable system.