Complex absorbing potential method for Stark resonances
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911770294091776 |
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| author | Kameoka, Kentaro |
| author_facet | Kameoka, Kentaro |
| contents | We characterize the resonances of Stark Hamiltonians by the complex absorbing potential method. Namely, we prove that the Stark resonances are the limit points of complex eigenvalues of the Stark Hamiltonian with a quadratic complex absorbing potential when the absorbing coefficient tends to zero. The proof employs the complex distortion outside a cone introduced in the previous work by the author. Potentials with local singularities such as the Coulomb potential are allowed as perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_09554 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Complex absorbing potential method for Stark resonances Kameoka, Kentaro Mathematical Physics Spectral Theory 81U24 (Primary) 81Q12 (Secondary) We characterize the resonances of Stark Hamiltonians by the complex absorbing potential method. Namely, we prove that the Stark resonances are the limit points of complex eigenvalues of the Stark Hamiltonian with a quadratic complex absorbing potential when the absorbing coefficient tends to zero. The proof employs the complex distortion outside a cone introduced in the previous work by the author. Potentials with local singularities such as the Coulomb potential are allowed as perturbations. |
| title | Complex absorbing potential method for Stark resonances |
| topic | Mathematical Physics Spectral Theory 81U24 (Primary) 81Q12 (Secondary) |
| url | https://arxiv.org/abs/2111.09554 |