Work

Many-body Stark resonances by the complex absorbing potential method

Year: 2024

Type: article

Abstract: The resonances of many-body Stark Hamiltonians are characterized by the complex absorbing potential method. Namely, the resonances are shown to be the limit points of complex discrete eigenvalues of many-body Stark Hamiltonians with quadratic complex potential when the coefficient of the complex potential tends to zero. The proof is based on the complex distortion outside a cone. Pseudodifferential operators are used in the proof of the main estimate.

Source: Journal of Pseudo-Differential Operators and Applications

DOI: 10.1007/s11868-024-00660-9

Author: Kentaro Kameoka

Institution: Ritsumeikan University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Ritsumeikan University, Japan Society for the Promotion of Science