ASYMPTOTIC BEHAVIOUR OF RESONANCE EIGENVALUES OF THE SCHRÖDINGER OPERATOR WITH A MATRIX POTENTIAL.

Autor: KARAKILIÇ, SEDEF, AKDUMAN, SETENAY, COŞKAN, DIDEM
Předmět:
Zdroj: Communications Series A1 Mathematics & Statistics; Jan2020, Vol. 69 Issue 1, p486-510, 25p
Abstrakt: We will discuss the asymptotic b ehaviour of the eigenvalues of a Schrödinger operator with a matrix potential defined by the Neumann boundary condition in L2m(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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index