2020 Resonances and viscosity limit for the Wigner–von Neumann-type Hamiltonian
Kentaro Kameoka, Shu Nakamura
Pure Appl. Anal. 2(4): 861-873 (2020). DOI: 10.2140/paa.2020.2.861

Abstract

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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Kentaro Kameoka. Shu Nakamura. "Resonances and viscosity limit for the Wigner–von Neumann-type Hamiltonian." Pure Appl. Anal. 2 (4) 861 - 873, 2020. https://doi.org/10.2140/paa.2020.2.861

Information

Received: 25 March 2020; Revised: 3 September 2020; Accepted: 3 November 2020; Published: 2020
First available in Project Euclid: 22 April 2021

Digital Object Identifier: 10.2140/paa.2020.2.861

Subjects:
Primary: 35J10
Secondary: 35P25

Keywords: quantum resonances , semiclassical analysis , viscosity limit , Wigner–von Neumann potential

Rights: Copyright © 2020 Mathematical Sciences Publishers

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