Hidden $sl(2)-$Symmetry of the Generalized Landau-Zener Vibronic Model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908541936205824 |
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| author | Nieto, L. M. Zarrinkamar, S. |
| author_facet | Nieto, L. M. Zarrinkamar, S. |
| contents | The one-dimensional harmonic vibronic model, which is a generalization of the so-called linear Landau-Zener model and appears in the form of coupled Schrödinger equations, is revisited. After decoupling the components, the resulting fourth-order equation is shown to have a hidden $sl(2)$ algebra. The so-called exceptional part of the spectrum is then expressed in a rather simple way. For completeness, the eigenfunctions are obtained via the Bethe ansatz approach directly in position space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hidden $sl(2)-$Symmetry of the Generalized Landau-Zener Vibronic Model Nieto, L. M. Zarrinkamar, S. Quantum Physics Mathematical Physics The one-dimensional harmonic vibronic model, which is a generalization of the so-called linear Landau-Zener model and appears in the form of coupled Schrödinger equations, is revisited. After decoupling the components, the resulting fourth-order equation is shown to have a hidden $sl(2)$ algebra. The so-called exceptional part of the spectrum is then expressed in a rather simple way. For completeness, the eigenfunctions are obtained via the Bethe ansatz approach directly in position space. |
| title | Hidden $sl(2)-$Symmetry of the Generalized Landau-Zener Vibronic Model |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2502.21145 |