Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866911770252148736 |
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| author | Kameoka, Kentaro Nakamura, Shu |
| author_facet | Kameoka, Kentaro Nakamura, Shu |
| contents | The resonances for the Wigner-von Neumann type Hamiltonian are defined by the periodic complex distortion in the Fourier space. Also, following Zworski, we characterize resonances as the limit points of discrete eigenvalues of the Hamiltonian with a quadratic complex absorbing potential in the viscosity type limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2003_07001 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian Kameoka, Kentaro Nakamura, Shu Mathematical Physics Analysis of PDEs 35J10, 35P25 The resonances for the Wigner-von Neumann type Hamiltonian are defined by the periodic complex distortion in the Fourier space. Also, following Zworski, we characterize resonances as the limit points of discrete eigenvalues of the Hamiltonian with a quadratic complex absorbing potential in the viscosity type limit. |
| title | Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian |
| topic | Mathematical Physics Analysis of PDEs 35J10, 35P25 |
| url | https://arxiv.org/abs/2003.07001 |