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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.19449 |
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| _version_ | 1866910985675079680 |
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| author | Dubikovsky, A. I. Silaev, P. K. |
| author_facet | Dubikovsky, A. I. Silaev, P. K. |
| contents | We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite satisfactory model of the metastable state. Most of the characteristic properties of the metastable state are reproduced: line shape, decay dynamics, and density of states. The correctness of the approximate analytical solution was verified by direct numerical calculations. The proposed model is a finite-dimensional analog of the Fano formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simple finite-dimensional model of the metastable state Dubikovsky, A. I. Silaev, P. K. Quantum Physics We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite satisfactory model of the metastable state. Most of the characteristic properties of the metastable state are reproduced: line shape, decay dynamics, and density of states. The correctness of the approximate analytical solution was verified by direct numerical calculations. The proposed model is a finite-dimensional analog of the Fano formalism. |
| title | Simple finite-dimensional model of the metastable state |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.19449 |