Global Spectral Gap in Bosonic Molecular Hamiltonians
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910679807557632 |
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| author | Gherghe, Sebastian |
| author_facet | Gherghe, Sebastian |
| contents | We consider a neutral bosonic molecule in the Born-Oppenheimer approximation without spin and assume the physically obvious assertion that a neutral molecule prefers to break into smaller neutral clusters. We prove the existence of a global in space/uniform spectral gap between the ground state and first excited state energies. To do so, we improve upon previous results using a different tool, the time-independent Feshbach-Schur map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Spectral Gap in Bosonic Molecular Hamiltonians Gherghe, Sebastian Mathematical Physics Spectral Theory We consider a neutral bosonic molecule in the Born-Oppenheimer approximation without spin and assume the physically obvious assertion that a neutral molecule prefers to break into smaller neutral clusters. We prove the existence of a global in space/uniform spectral gap between the ground state and first excited state energies. To do so, we improve upon previous results using a different tool, the time-independent Feshbach-Schur map. |
| title | Global Spectral Gap in Bosonic Molecular Hamiltonians |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2407.04640 |