General structures of Hamiltonian hierarchies
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
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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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:29462024-08-05T22:23:13.998109Repositório 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 |
|
_version_ |
1808129423155658752 |