General structures of Hamiltonian hierarchies

Detalhes bibliográficos
Autor(a) principal: dos Anjos, R. C. [UNESP]
Data de Publicação: 2008
Outros Autores: Drigo Filho, Elso [UNESP], Ricotta, R. M.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1742-6596/128/1/012041
http://hdl.handle.net/11449/22015
Resumo: Three dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has been added are shown to maintain their functional form which allows the construction of the Hamiltonian hierarchy and the determination of the spectra of eigenvalues and eigenfunctions within the Supersymmetric Quantum Mechanics formalism. For the specific cases of the harmonic oscillator and the Coulomb potentials, known as pseudo-harmonic oscillator and pseudo-Coulomb potentials, it is shown here that the inclusion of the new term corresponds to rescaling the angular momentum and it is responsible for maintaining their exact solvability.
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spelling General structures of Hamiltonian hierarchiesThree dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has been added are shown to maintain their functional form which allows the construction of the Hamiltonian hierarchy and the determination of the spectra of eigenvalues and eigenfunctions within the Supersymmetric Quantum Mechanics formalism. For the specific cases of the harmonic oscillator and the Coulomb potentials, known as pseudo-harmonic oscillator and pseudo-Coulomb potentials, it is shown here that the inclusion of the new term corresponds to rescaling the angular momentum and it is responsible for maintaining their exact solvability.Univ Estadual Paulista, IBILCE, São Paulo, BrazilUniv Estadual Paulista, IBILCE, São Paulo, BrazilIop Publishing LtdUniversidade Estadual Paulista (Unesp)dos Anjos, R. C. [UNESP]Drigo Filho, Elso [UNESP]Ricotta, R. M.2014-05-20T14:02:27Z2014-05-20T14:02:27Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject5application/pdfhttp://dx.doi.org/10.1088/1742-6596/128/1/0120415th International Symposium on Quantum Theory and Symmetries Qts5. Bristol: Iop Publishing Ltd, v. 128, p. 5, 2008.1742-6588http://hdl.handle.net/11449/2201510.1088/1742-6596/128/1/012041WOS:000290270700041WOS000290270700041.pdf3277957413291567Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng5th International Symposium on Quantum Theory and Symmetries Qts50,241info:eu-repo/semantics/openAccess2024-01-08T06:21:41Zoai:repositorio.unesp.br:11449/22015Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-08T06:21:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv General structures of Hamiltonian hierarchies
title General structures of Hamiltonian hierarchies
spellingShingle General structures of Hamiltonian hierarchies
dos Anjos, R. C. [UNESP]
title_short General structures of Hamiltonian hierarchies
title_full General structures of Hamiltonian hierarchies
title_fullStr General structures of Hamiltonian hierarchies
title_full_unstemmed General structures of Hamiltonian hierarchies
title_sort General structures of Hamiltonian hierarchies
author dos Anjos, R. C. [UNESP]
author_facet dos Anjos, R. C. [UNESP]
Drigo Filho, Elso [UNESP]
Ricotta, R. M.
author_role author
author2 Drigo Filho, Elso [UNESP]
Ricotta, R. M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv dos Anjos, R. C. [UNESP]
Drigo Filho, Elso [UNESP]
Ricotta, R. M.
description Three dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has been added are shown to maintain their functional form which allows the construction of the Hamiltonian hierarchy and the determination of the spectra of eigenvalues and eigenfunctions within the Supersymmetric Quantum Mechanics formalism. For the specific cases of the harmonic oscillator and the Coulomb potentials, known as pseudo-harmonic oscillator and pseudo-Coulomb potentials, it is shown here that the inclusion of the new term corresponds to rescaling the angular momentum and it is responsible for maintaining their exact solvability.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01
2014-05-20T14:02:27Z
2014-05-20T14:02:27Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1742-6596/128/1/012041
5th International Symposium on Quantum Theory and Symmetries Qts5. Bristol: Iop Publishing Ltd, v. 128, p. 5, 2008.
1742-6588
http://hdl.handle.net/11449/22015
10.1088/1742-6596/128/1/012041
WOS:000290270700041
WOS000290270700041.pdf
3277957413291567
url http://dx.doi.org/10.1088/1742-6596/128/1/012041
http://hdl.handle.net/11449/22015
identifier_str_mv 5th International Symposium on Quantum Theory and Symmetries Qts5. Bristol: Iop Publishing Ltd, v. 128, p. 5, 2008.
1742-6588
10.1088/1742-6596/128/1/012041
WOS:000290270700041
WOS000290270700041.pdf
3277957413291567
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 5th International Symposium on Quantum Theory and Symmetries Qts5
0,241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 5
application/pdf
dc.publisher.none.fl_str_mv Iop Publishing Ltd
publisher.none.fl_str_mv Iop Publishing Ltd
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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