Local and global spectral shift functions in R2

DOI10.1063/1.528461zbMath0664.46076OpenAlexW2012539520MaRDI QIDQ3814248

D. Bollé, C. Danneels, T. A. Osborn

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528461

zbMATH Keywords

energy-dependent trace-class time-delay operatorKrein spectal shift functionquantum-mechanical scattering in two dimensions of a single spinless particletransit time of a scattering systemzero-energy resonance behavior

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Related Items

Scattering theory for general, non-local interactions: Threshold behavior and sum rules ⋮ Resonant rigidity for Schrödinger operators in even dimensions ⋮ Unnamed Item

Cites Work

• A stationary proof of Lavine's formula for time-delay
• Transit time measures in scattering theory
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• On the absence of positive eigenvalues for one-body Schrödinger operators
• Two-dimensional scattering: The number of bound states from scattering data
• Lifetime Matrix in Collision Theory
• Time delay for long-range interactions
• Time delay and dilation properties in scattering theory
• Spectral sum rule for time delay in R2
• The stationary phase method and pseudodifferential operators

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