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Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion.
- Source :
-
Journal of Mathematical Physics . Dec2009, Vol. 50 Issue 12, p122102. 10p. - Publication Year :
- 2009
-
Abstract
- The main result of this article is that we show that from supersymmetry we can generate new superintegrable Hamiltonians. We consider a particular case with a third order integral and apply Mielnik’s construction in supersymmetric quantum mechanics. We obtain a new superintegrable potential separable in Cartesian coordinates with a quadratic and quintic integrals and also one with a quadratic integral and an integral of order of 7. We also construct a superintegrable system written in terms of the fourth Painlevé transcendent with a quadratic integral and an integral of order of 7. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SUPERSYMMETRY
*INTEGRALS
*QUANTUM theory
*COORDINATES
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 50
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 47244017
- Full Text :
- https://doi.org/10.1063/1.3272003