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dc.contributor.author
Vignat, C.
dc.contributor.author
Lamberti, Pedro Walter
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dc.date.available
2024-08-08T11:23:35Z
dc.date.issued
2009-10
dc.identifier.citation
Vignat, C.; Lamberti, Pedro Walter; A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces; American Institute of Physics; Journal of Mathematical Physics; 50; 10; 10-2009; 1-10
dc.identifier.issn
0022-2488
dc.identifier.uri
http://hdl.handle.net/11336/242081
dc.description.abstract
Recently, Cariñena, et al. Ann. Phys. 322, 434 2007 introduced a new family of orthogonal polynomials that appear in the wave functions of the quantum harmonic oscillator in two-dimensional constant curvature spaces. They are a generalization of the Hermite polynomials and will be called curved Hermite polynomials in the following. We show that these polynomials are naturally related to the relativistic Hermite polynomials introduced by Aldaya et al. Phys. Lett. A 156, 381 1991 , and thus are Jacobi polynomials. Moreover, we exhibit a natural bijection between the solutions of the quantum harmonic oscillator on negative curvature spaces and on positive curvature spaces. At last, we show a maximum entropy property for the ground states of these oscillators.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
quantum harmonic oscillators
dc.subject
constant curvature spaces
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-08-05T13:59:21Z
dc.journal.volume
50
dc.journal.number
10
dc.journal.pagination
1-10
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Vignat, C.. Université de Marne la Vallée; Francia
dc.description.fil
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
dc.journal.title
Journal of Mathematical Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://pubs.aip.org/aip/jmp/article-abstract/50/10/103514/985166/A-study-of-the-orthogonal-polynomials-associated?redirectedFrom=fulltext
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.3227659
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