Complex absorbing potential method for Stark resonances

Autor:	Kameoka, Kentaro
Rok vydání:	2021
Předmět:	Mathematical Physics Mathematics - Spectral Theory 81U24 (Primary) 81Q12 (Secondary)
Zdroj:	Journal of Mathematical Physics (2022)
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0080031
Popis:	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. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.09554 Zobrazit plný text záznamu View this record from Arxiv