Perturbation determinants, the spectral shift function, trace identities, and all that

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

We discuss applications of the M. G. Kre\u{\i}n theory of the spectral shift
function to the multi-dimensional Schr\"odinger operator as well as specific
properties of this function, for example, its high-energy asymptotics. Trace
identities for the Schr\"odinger operator are derived.

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