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

D. R. Yafaev

Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 60-83

Résumé

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.

Détail

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

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