Supersymmetric Quantum Mechanics and Integrability
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
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 super- symmetry will give constraints on the potential which will lead to an integrable system. A possible way to explore the integrability of supersymmetric 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.
Place, publisher, year, edition, pages
2012. , 44 p.
Supersymmetry, Quantum Mechanics, Integrability
Other Physics Topics
IdentifiersURN: urn:nbn:se:uu:diva-173301OAI: oai:DiVA.org:uu-173301DiVA: diva2:517266
Master Programme in Physics
UppsokPhysics, Chemistry, Mathematics