Geometrical connection between the VFM and the JWKB method

Autores
Arteca, Gustavo Alberto; Fernández, Francisco Marcelo; Castro, Eduardo Alberto
Año de publicación
1990
Idioma
inglés
Tipo de recurso
parte de libro
Estado
versión publicada
Descripción
Previous paragraphs were devoted to discussing several functional energy representations of physical systems, through the generalization of semiclassical relationships, and the Heisenberg inequalities or the de Broglie hypothesis. It has been shown that all these approximations lead to eigenvalues depending on quantum numbers and parameters contained within the Hamiltonian, similarly to those obtained via the JWKB method and the variational theorem /1–13/ (see Chapter VI).
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Química
Física
Power series expansion
Anharmonic oscillator
Elliptical approximation
Phase space trajectory
Classical turning points
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:10915/144598
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/144598
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Geometrical connection between the VFM and the JWKB methodArteca, Gustavo AlbertoFernández, Francisco MarceloCastro, Eduardo AlbertoQuímicaFísicaPower series expansionAnharmonic oscillatorElliptical approximationPhase space trajectoryClassical turning pointsPrevious paragraphs were devoted to discussing several functional energy representations of physical systems, through the generalization of semiclassical relationships, and the Heisenberg inequalities or the de Broglie hypothesis. It has been shown that all these approximations lead to eigenvalues depending on quantum numbers and parameters contained within the Hamiltonian, similarly to those obtained via the JWKB method and the variational theorem /1–13/ (see Chapter VI).Instituto de Investigaciones Fisicoquímicas Teóricas y AplicadasSpringer1990info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionCapitulo de librohttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdf305-328http://sedici.unlp.edu.ar/handle/10915/144598enginfo:eu-repo/semantics/altIdentifier/isbn/978-3-642-93469-8info:eu-repo/semantics/altIdentifier/issn/0342-4901info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-642-93469-8_13info: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:UNLP2025-09-29T11:32:31Zoai:sedici.unlp.edu.ar:10915/144598Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:31.975SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Geometrical connection between the VFM and the JWKB method
title Geometrical connection between the VFM and the JWKB method
spellingShingle Geometrical connection between the VFM and the JWKB method
Arteca, Gustavo Alberto
Química
Física
Power series expansion
Anharmonic oscillator
Elliptical approximation
Phase space trajectory
Classical turning points
title_short Geometrical connection between the VFM and the JWKB method
title_full Geometrical connection between the VFM and the JWKB method
title_fullStr Geometrical connection between the VFM and the JWKB method
title_full_unstemmed Geometrical connection between the VFM and the JWKB method
title_sort Geometrical connection between the VFM and the JWKB method
dc.creator.none.fl_str_mv Arteca, Gustavo Alberto
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author Arteca, Gustavo Alberto
author_facet Arteca, Gustavo Alberto
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author_role author
author2 Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author2_role author
author
dc.subject.none.fl_str_mv Química
Física
Power series expansion
Anharmonic oscillator
Elliptical approximation
Phase space trajectory
Classical turning points
topic Química
Física
Power series expansion
Anharmonic oscillator
Elliptical approximation
Phase space trajectory
Classical turning points
dc.description.none.fl_txt_mv Previous paragraphs were devoted to discussing several functional energy representations of physical systems, through the generalization of semiclassical relationships, and the Heisenberg inequalities or the de Broglie hypothesis. It has been shown that all these approximations lead to eigenvalues depending on quantum numbers and parameters contained within the Hamiltonian, similarly to those obtained via the JWKB method and the variational theorem /1–13/ (see Chapter VI).
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description Previous paragraphs were devoted to discussing several functional energy representations of physical systems, through the generalization of semiclassical relationships, and the Heisenberg inequalities or the de Broglie hypothesis. It has been shown that all these approximations lead to eigenvalues depending on quantum numbers and parameters contained within the Hamiltonian, similarly to those obtained via the JWKB method and the variational theorem /1–13/ (see Chapter VI).
publishDate 1990
dc.date.none.fl_str_mv 1990
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/publishedVersion
Capitulo de libro
http://purl.org/coar/resource_type/c_3248
info:ar-repo/semantics/parteDeLibro
format bookPart
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/144598
url http://sedici.unlp.edu.ar/handle/10915/144598
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/isbn/978-3-642-93469-8
info:eu-repo/semantics/altIdentifier/issn/0342-4901
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-642-93469-8_13
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
305-328
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.070432

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