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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.10798 |
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| _version_ | 1866914554397589504 |
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| author | Kurasov, Pavel Shubin, Vladislav Tibbling, Axel |
| author_facet | Kurasov, Pavel Shubin, Vladislav Tibbling, Axel |
| contents | Laplacians on metric graphs are used to construct continuous families of Hamiltonians with different topological structure. One such family is used to demonstrate that Hamiltonians with real-valued eigenfunctions may possess non-trivial geometric Berry's phase. Connections between non-trivial Berry's phase and topology change are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10798 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Berry's phase under topology change Kurasov, Pavel Shubin, Vladislav Tibbling, Axel Spectral Theory Mathematical Physics Quantum Physics Primary: 11M06, 30B50, 42B10, 46F12 Secondary: 42A75, 46F05, 52C23 Laplacians on metric graphs are used to construct continuous families of Hamiltonians with different topological structure. One such family is used to demonstrate that Hamiltonians with real-valued eigenfunctions may possess non-trivial geometric Berry's phase. Connections between non-trivial Berry's phase and topology change are discussed. |
| title | Berry's phase under topology change |
| topic | Spectral Theory Mathematical Physics Quantum Physics Primary: 11M06, 30B50, 42B10, 46F12 Secondary: 42A75, 46F05, 52C23 |
| url | https://arxiv.org/abs/2605.10798 |