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Hokkaido University Preprint Series in Mathematics >
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 | | Matsuzawa, Yasumichi Browse this author |
| Keywords: | canonical commutation relation | | weak Weyl representation | | Weyl representation | | Hamiltonian | | time operator | | spectrum |
| Issue Date: | 10-Jan-2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 888 |
| Start Page: | 1 |
| End Page: | 11 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69697 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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