Canonical transformations to action and phase-angle variables and phase operators
The well-known difficulties of defining a phase operator of an oscillator are considered from the point of view of the canonical transformation to action and phase-angle variables. This transformation turns out to be nonbijective, i.e., it is not a one-to-one onto mapping. In order to make possible...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 1993 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59835 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59835 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Quantum-mechanics Óptica (Física) 2209.19 Óptica Física |
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Canonical transformations to action and phase-angle variables and phase operatorsLuis Aina, AlfredoSánchez Soto, Luis Lorenzo535Quantum-mechanicsÓptica (Física)2209.19 Óptica FísicaThe well-known difficulties of defining a phase operator of an oscillator are considered from the point of view of the canonical transformation to action and phase-angle variables. This transformation turns out to be nonbijective, i.e., it is not a one-to-one onto mapping. In order to make possible the unitarity of its representations in quantum optics we should enlarge the Hilbert space of the problem. In this enlarged space we find a phase operator that, after projection, reproduces previous candidates to represent a well-behaved phase operator in the quantum domain.American Physical SocietyUniversidad Complutense de Madrid19931993-07-0119931993-07-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/59835reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/598352026-06-02T12:44:21Z |
| dc.title.none.fl_str_mv |
Canonical transformations to action and phase-angle variables and phase operators |
| title |
Canonical transformations to action and phase-angle variables and phase operators |
| spellingShingle |
Canonical transformations to action and phase-angle variables and phase operators Luis Aina, Alfredo 535 Quantum-mechanics Óptica (Física) 2209.19 Óptica Física |
| title_short |
Canonical transformations to action and phase-angle variables and phase operators |
| title_full |
Canonical transformations to action and phase-angle variables and phase operators |
| title_fullStr |
Canonical transformations to action and phase-angle variables and phase operators |
| title_full_unstemmed |
Canonical transformations to action and phase-angle variables and phase operators |
| title_sort |
Canonical transformations to action and phase-angle variables and phase operators |
| dc.creator.none.fl_str_mv |
Luis Aina, Alfredo Sánchez Soto, Luis Lorenzo |
| author |
Luis Aina, Alfredo |
| author_facet |
Luis Aina, Alfredo Sánchez Soto, Luis Lorenzo |
| author_role |
author |
| author2 |
Sánchez Soto, Luis Lorenzo |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Universidad Complutense de Madrid |
| dc.subject.none.fl_str_mv |
535 Quantum-mechanics Óptica (Física) 2209.19 Óptica Física |
| topic |
535 Quantum-mechanics Óptica (Física) 2209.19 Óptica Física |
| description |
The well-known difficulties of defining a phase operator of an oscillator are considered from the point of view of the canonical transformation to action and phase-angle variables. This transformation turns out to be nonbijective, i.e., it is not a one-to-one onto mapping. In order to make possible the unitarity of its representations in quantum optics we should enlarge the Hilbert space of the problem. In this enlarged space we find a phase operator that, after projection, reproduces previous candidates to represent a well-behaved phase operator in the quantum domain. |
| publishDate |
1993 |
| dc.date.none.fl_str_mv |
1993 1993-07-01 1993 1993-07-01 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/20.500.14352/59835 |
| url |
https://hdl.handle.net/20.500.14352/59835 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
American Physical Society |
| publisher.none.fl_str_mv |
American Physical Society |
| dc.source.none.fl_str_mv |
reponame:Docta Complutense instname:Universidad Complutense de Madrid (UCM) |
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Universidad Complutense de Madrid (UCM) |
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Docta Complutense |
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Docta Complutense |
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1869404154285260800 |
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15.301603 |