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: | , |
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| Formato: | artículo |
| Fecha de publicación: | 1993 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59835 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/59835 |
| Access Level: | acceso abierto |
| Palavra-chave: | 535 Quantum-mechanics Óptica (Física) 2209.19 Óptica Física |
| Resumo: | 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. |
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