D. R. Yafaev, “The Schrödinger Operator: Perturbation Determinants, the Spectral Shift Function, Trace Identities, and All That”, Funktsional. Anal. i Prilozhen., 2007, Volume 41, Issue 3,Pages <nobr>60

This article is cited in 17 papers

The Schrödinger Operator: Perturbation Determinants, the Spectral Shift Function, Trace Identities, and All That

D. R. Yafaev

University of Rennes 1

Abstract: We discuss applications of the M. G. Krein theory of the spectral shift function to the multidimensional Schrödinger operator. Specific properties of this function, for example, its high-energy asymptotics are studied. Trace identities are derived.

Keywords: M. G. Krein spectral shift function, multidimensional Schrödinger operator, high-energy asymptotics, trace formula, trace identities.

UDC: 517.9

Received: 21.12.2006

DOI: 10.4213/faa2868