Asymptotic formulas for the resonance eigenvalues of the Schrödinger operator

Abstract

In this paper, we consider the Schrödinger operators defined by the differential expression ... in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators.