%0 Journal Article
%T Asymptotic Behaviour of Resonance Eigenvalues of the Schr£¿dinger operator with a Matrix Potential
%A Sedef Karak£¿l£¿£¿
%A Setenay Akduman
%A Didem Co£¿kan
%J Mathematics
%D 2015
%I arXiv
%X We will discuss the asymptotic behaviour of the eigenvalues of Schr\"{o}dinger operator with a matrix potential defined by Neumann boundary condition in $L_2^m(F)$, where $F$ is $d$-dimensional rectangle and the potential is a $m \times m$ matrix with $m\geq 2$, $d\geq 2$ , when the eigenvalues belong to the resonance domain, roughly speaking they lie near planes of diffraction. \textbf{Keywords:} Schr\"{o}dinger operator, Neumann condition, Resonance eigenvalue, Perturbation theory. \textbf{AMS Subject Classifications:} 47F05, 35P15
%U http://arxiv.org/abs/1505.05037v1