A local trace formula for resonances of perturbed periodic Schrodinger operators

摘要

We give a local trace formula for the pair (P-1 (h) = P-o + W(hy), P-o), where P-o is a periodic Schrodinger operator, W is a decreasing perturbation and It is a small positive parameter. We apply this result to establish the existence of similar toh(-n) resonances near some energy lambda of sigma (P-o). (C) 2002 Elsevier Science (USA). All rights reserved. [References: 30]