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Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators
| Title: | Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | canonical commutation relation | | Hamiltonian | | time operator | | eigenvalue | | MSC=81Q10 | | MSC=47N50 |
| Issue Date: | Feb-2009 |
| Publisher: | Springer |
| Journal Title: | Letters in Mathematical Physics |
| Volume: | 87 |
| Issue: | 1-2 |
| Start Page: | 67 |
| End Page: | 80 |
| Publisher DOI: | 10.1007/s11005-008-0286-z |
| Abstract: | We present new classes of time operators of a Hamiltonian H (a self-adjoint operator) with discrete eigenvalues which may be degenerate. Moreover we formulate necessary and sufficient conditions for H to have time operators, determining the general form of them. As corollaries, non-existence theorems of time operators for some classes of H are derived. |
| Rights: | The original publication is available at www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38134 |
| 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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