Self-adjointness of unbounded time operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913341716299776 |
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| author | Hiroshima, Fumio Teranishi, Noriaki |
| author_facet | Hiroshima, Fumio Teranishi, Noriaki |
| contents | Time operators for an abstract semi-bounded self-adjoint operator $H$ with purely discrete spectrum is considered. The existence of a bounded self-adjoint time operator $T$ for $H$ is known as Galapon time operator. In this paper, a self-adjoint but unbounded time operator $T$ of $H$ is constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-adjointness of unbounded time operators Hiroshima, Fumio Teranishi, Noriaki Mathematical Physics Time operators for an abstract semi-bounded self-adjoint operator $H$ with purely discrete spectrum is considered. The existence of a bounded self-adjoint time operator $T$ for $H$ is known as Galapon time operator. In this paper, a self-adjoint but unbounded time operator $T$ of $H$ is constructed. |
| title | Self-adjointness of unbounded time operators |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2405.02851 |