Wronskian method for bound states

Autores
Fernández, Francisco Marcelo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Wronskian
Bound states
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:10915/129287
Acceder
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network_name_str SEDICI (UNLP)
spelling Wronskian method for bound statesFernández, Francisco MarceloFísicaWronskianBound statesWe propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf723-732http://sedici.unlp.edu.ar/handle/10915/129287enginfo:eu-repo/semantics/altIdentifier/issn/0143-0807info:eu-repo/semantics/altIdentifier/issn/1361-6404info:eu-repo/semantics/altIdentifier/arxiv/1101.3209info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/32/3/008info: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:UNLP2025-10-15T11:23:08Zoai:sedici.unlp.edu.ar:10915/129287Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:08.929SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Wronskian method for bound states
title Wronskian method for bound states
spellingShingle Wronskian method for bound states
Fernández, Francisco Marcelo
Física
Wronskian
Bound states
title_short Wronskian method for bound states
title_full Wronskian method for bound states
title_fullStr Wronskian method for bound states
title_full_unstemmed Wronskian method for bound states
title_sort Wronskian method for bound states
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv Física
Wronskian
Bound states
topic Física
Wronskian
Bound states
dc.description.none.fl_txt_mv We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.
publishDate 2011
dc.date.none.fl_str_mv 2011
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/10915/129287
url http://sedici.unlp.edu.ar/handle/10915/129287
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0143-0807
info:eu-repo/semantics/altIdentifier/issn/1361-6404
info:eu-repo/semantics/altIdentifier/arxiv/1101.3209
info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/32/3/008
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
723-732
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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