Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913468058173440 |
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| author | Znojil, Miloslav |
| author_facet | Znojil, Miloslav |
| contents | In the framework of quasi-Hermitian quantum mechanics it is shown that a weakening of the isotropy of the Hilbert-space geometry can help us to enlarge the domain of the parameters at which the evolution is unitary. The idea is tested using a simplified subset of eligible metrics and two exactly solvable models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02491 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space Znojil, Miloslav Quantum Physics Mathematical Physics In the framework of quasi-Hermitian quantum mechanics it is shown that a weakening of the isotropy of the Hilbert-space geometry can help us to enlarge the domain of the parameters at which the evolution is unitary. The idea is tested using a simplified subset of eligible metrics and two exactly solvable models. |
| title | Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2408.02491 |