Perturbation determinants, the spectral shift function, trace identities, and all that
arXiv:math/0701301
Abstract
We discuss applications of the M. G. Kre\uın theory of the spectral shift function to the multi-dimensional Schrödinger operator as well as specific properties of this function, for example, its high-energy asymptotics. Trace identities for the Schrödinger operator are derived.