On a trace formula of the Buslaev–Faddeev type for a long-range potential

DOI10.1063/1.532805zbMath0952.34069OpenAlexW1972267539MaRDI QIDQ4701790

Alexei Rybkin

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532805

zbMATH Keywords

trace formulaelong-range potentials1D Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (2)

Spectral distributions for long range perturbations ⋮ Trace formulas for Schrödinger operators on the half-line

Cites Work

• Analog of Levinson's formula for a Schrödinger operator with long-range potential
• Regularized spectral shift function for one-dimensional Schrödinger operator with slowly decreasing potential
• Trace distributions associated to the Schrödinger operator
• The \(\xi\) function
• Absolute summability of the trace relation for certain Schrödinger operators
• On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory
• ON THE TRACE FORMULAS OF GEL'FAND-LEVITAN AND KREĬN
• Trace formulas for Sturm-Liouville differential operators
• HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS

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