Asymptotic behaviour of resonance eigenvalues of the Schrödinger operator with a matrix potential

Authors : Setenay AKDUMAN, Sedef KARAKILIÇ, Didem COŞKAN

Pages : 486-510

Doi:10.31801/cfsuasmas.577438

View : 38 | Download : 10

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :We will discuss the asymptotic behaviour of the eigenvalues of a Schrödinger operator with a matrix potential defined by the Neumann boundary condition in L₂^{m}insert ignore into journalissuearticles values(F);, where F is a d-dimensional rectangle and the potential is an m×m matrix with m≥2, d≥2 , when the eigenvalues belong to the resonance domain, roughly speaking they lie near the planes of diffraction.
Keywords : Schrödinger operator, Neumann condition, Resonance eigenvalue, Perturbation theory

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