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Resonances and viscosity
limit for the Wigner–von Neumann-type Hamiltonian
Kentaro Kameoka and Shu Nakamura |
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Vol. 2 (2020), No. 4, 861–873
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Abstract |
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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. |
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Keywords
quantum resonances, Wigner–von Neumann potential,
semiclassical analysis, viscosity limit
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Mathematical Subject Classification
Primary: 35J10
Secondary: 35P25
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Milestones
Received: 25 March 2020
Revised: 3 September 2020
Accepted: 3 November 2020
Published: 25 February 2021
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Authors |
| Kentaro Kameoka | |
| Graduate School of Mathematical
Sciences University of Tokyo Tokyo Japan |
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| Shu Nakamura | |
| Department of Mathematics Faculty of Sciences Gakushuin University Tokyo Japan |
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