Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
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| Authors: | , |
|---|---|
| Format: | artículo original |
| Publication Date: | 1988 |
| Description: | The topology of the Moyal *-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space itself; or one may construct the *-algebra via a filtration of Hilbert spaces (or other Banach spaces) of distributions. We prove the equivalence of the three topologies thereby obtained. As a consequence, by filtrating the space of tempered distributions by Banach subspaces, we give new sufficient conditions for a phase-space function to correspond to a trace-class operator via the Weyl correspondence rule. |
| Country: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Language: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/86467 |
| Online Access: | https://aip.scitation.org/doi/10.1063/1.527984 https://hdl.handle.net/10669/86467 |
| Keyword: | Quantum mechanics in phase space Tempered distributions Locally convex spaces |