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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 3, Pages 60–83
DOI: https://doi.org/10.4213/faa2868 (Mi faa2868) 		 
This article is cited in 17 scientific papers (total in 17 papers)

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

D. R. Yafaev

University of Rennes 1
Full-text PDF (332 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa2868
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.
Received: 21.12.2006
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 217–236
DOI: https://doi.org/10.1007/s10688-007-0019-6
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: D. R. Yafaev, “The Schrödinger Operator: Perturbation Determinants, the Spectral Shift Function, Trace Identities, and All That”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 60–83; Funct. Anal. Appl., 41:3 (2007), 217–236
Citation in format AMSBIB
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\pages 60--83
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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