Spectral shift function in the large coupling constant limit

DOI10.1006/jfan.2000.3720zbMath0993.47013OpenAlexW2094578931MaRDI QIDQ5937219

Oleg Safronov

Publication date: 20 May 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/421947

zbMATH Keywords

Dirac operatorspectral shift functionselfadjoint operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)

Related Items

Absence of reflection as a function of the coupling constant, Schatten class estimates for the Riesz map of massless Dirac operators, Bounds on the spectral shift function and the density of states, The Witten index and the spectral shift function, Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues, The spectral shift function and the invariance principle, SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS

Cites Work

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• The discrete spectrum in the gaps of the continuous one for non-signdefinite perturbations with a large coupling constant
• The index of a pair of projections
• Discrete spectrum of the perturbed Dirac operator
• The \(\Xi\) operator and its relation to Krein's spectral shift function
• L₂-Theory of the Maxwell operator in arbitrary domains
• Estimates for the spectral shift function of the polyharmonic operator
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.
• Spectral shift function of the schrödinger operator in the large coupling constant limit
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