Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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dc.contributor.author	Hussin, V.
dc.contributor.author	Marquette, I.
dc.date.accessioned	2019-02-11T15:23:52Z
dc.date.available	2019-02-11T15:23:52Z
dc.date.issued	2011
dc.identifier.citation	Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential / V. Hussin, I. Marquette // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 32 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R15; 81R12; 81R50
dc.identifier.other	DOI:10.3842/SIGMA.2011.024
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146798
dc.description.abstract	We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories. In particular, we apply these results to the infinite well and Morse potentials. We discuss how the degeneracies of the permutation symmetry of quantum two-dimensional systems can be explained using products of ladder operators. These products satisfy interesting commutation relations. The two-dimensional Morse quantum system is also related to a generalized two-dimensional Morse supersymmetric model. Arithmetical or accidental degeneracies of such system are shown to be associated to additional supersymmetry.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html. The research of I. Marquette was supported by a postdoctoral research fellowship from FQRNT of Quebec. V. Hussin acknowledge the support of research grants from NSERC of Canada. Part of this work has been done while V. Hussin visited Northumbria University (as visiting professor and sabbatical leave).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA