Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914014391435264 |
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| author | Latushkin, Yuri Pogan, Alin |
| author_facet | Latushkin, Yuri Pogan, Alin |
| contents | We study the resonances of (generally, non-selfadjoint) Schrödinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex transcendental equations for the resonances. We prove several results concerning the distribution of resonances in the complex plane. We compute the multiplicity of resonances and prove a version of the Weyl Law for the number of resonances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential Latushkin, Yuri Pogan, Alin Mathematical Physics Spectral Theory We study the resonances of (generally, non-selfadjoint) Schrödinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex transcendental equations for the resonances. We prove several results concerning the distribution of resonances in the complex plane. We compute the multiplicity of resonances and prove a version of the Weyl Law for the number of resonances. |
| title | Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2509.00235 |