Algebraic solution of the supersymmetric hydrogen atom in d dimensions

Autores
Kirchberg, A.; Länge, J. D.; González Pisani, Pablo Andrés; Wipf, Andreas
Año de publicación
2003
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/131597
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/131597
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Algebraic solution of the supersymmetric hydrogen atom in d dimensionsKirchberg, A.Länge, J. D.González Pisani, Pablo AndrésWipf, AndreasCiencias ExactasFísicaLaplace–Runge–Lenz vectorSupersymmetric quantum mechanicsDynamical symmetryHydrogen atomIn this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.Facultad de Ciencias ExactasInstituto de Física La Plata2003-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf359-388http://sedici.unlp.edu.ar/handle/10915/131597enginfo:eu-repo/semantics/altIdentifier/issn/0003-4916info:eu-repo/semantics/altIdentifier/issn/1096-035Xinfo:eu-repo/semantics/altIdentifier/arxiv/hep-th/0208228info:eu-repo/semantics/altIdentifier/doi/10.1016/s0003-4916(03)00003-4info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:09Zoai:sedici.unlp.edu.ar:10915/131597Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:09.86SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title Algebraic solution of the supersymmetric hydrogen atom in d dimensions
spellingShingle Algebraic solution of the supersymmetric hydrogen atom in d dimensions
Kirchberg, A.
Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
title_short Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_full Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_fullStr Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_full_unstemmed Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_sort Algebraic solution of the supersymmetric hydrogen atom in d dimensions
dc.creator.none.fl_str_mv Kirchberg, A.
Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
author Kirchberg, A.
author_facet Kirchberg, A.
Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
author_role author
author2 Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
topic Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
dc.description.none.fl_txt_mv In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
publishDate 2003
dc.date.none.fl_str_mv 2003-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/131597
url http://sedici.unlp.edu.ar/handle/10915/131597
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0003-4916
info:eu-repo/semantics/altIdentifier/issn/1096-035X
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0208228
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0003-4916(03)00003-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
359-388
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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