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Supersymmetric Quantum Mechanics and Integrability
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

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.
Keyword [en]
Supersymmetry, Quantum Mechanics, Integrability
National Category
Other Physics Topics
URN: urn:nbn:se:uu:diva-173301OAI: diva2:517266
Educational program
Master Programme in Physics
Physics, Chemistry, Mathematics
Available from: 2012-05-07 Created: 2012-04-23 Last updated: 2012-05-07Bibliographically approved

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Engbrant, Fredrik
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