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Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation
| Title: | Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation |
| Authors: | Arai, Asao Browse this author →KAKEN DB | | Matsuzawa, Yasumichi Browse this author |
| Keywords: | canonical commutation relation | | weak Weyl representation | | Weyl representation | | Hamiltonian | | time operator | | spectrum | | MSC=81Q10 | | MSC=47N50 |
| Issue Date: | Feb-2008 |
| Publisher: | Springer |
| Journal Title: | Letters in Mathematical Physics |
| Volume: | 83 |
| Issue: | 2 |
| Start Page: | 201 |
| End Page: | 211 |
| Publisher DOI: | 10.1007/s11005-008-0220-4 |
| Abstract: | Weak Weyl representations of the canonical commutation relation (CCR) with one degree of freedom are considered in relation to the theory of time operator in quantum mechanics. It is proven that there exists a general structure through which a weak Weyl representation can be constructed from a given weak Weyl representation. As a corollary, it is shown that a Weyl representation of the CCR can be constructed from a weak Weyl representation which satisfies some additional property. Some examples are given. |
| Rights: | The original publication is available at www.springerlink.com |
| Relation: | http://www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/32612 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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