Unified Approach to Eigenvalues and Resonances of Schroedinger Operators Using Fredholm Determinants

摘要

We study in detail the threshold behaviour of eigenvalues and resonances of the Schroedinger operator H(lambda) as they are absorbed at the bottom of the continuous spectrum when lambda -> lambda sub 0 , lambda sub 0 a so called coupling constant threshold. Using Fredholm deteminants we give their analytic structure in terms of lambda - lambda sub 0 and compute the first order terms explicitly. (ERA citation 10:052986)