Non-unitary scattering and capture. I: Hilbert space theory

DOI10.1007/BF01197295zbMath0428.47006MaRDI QIDQ1137230

E. Brian Davies

Publication date: 1980

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

zbMATH Keywords

complex potentialsspectral properties of non-self-adjoint operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (18)

Asymptotic completeness in dissipative scattering theory ⋮ Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers ⋮ Inverse scattering problem in nuclear physics—Optical model ⋮ Unnamed Item ⋮ On spatial conditioning of the spectrum of discrete random Schrödinger operators ⋮ Unnamed Item ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Scattering theory for open quantum systems with finite rank coupling ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ Unnamed Item ⋮ Generic nature of asymptotic completeness in dissipative scattering theory ⋮ Scattering theory for Lindblad master equations ⋮ On Schrödinger operators with inverse square potentials on the half-line ⋮ Continuity of wave and scattering operators with respect to interactions ⋮ Trace Formulae for Dissipative and Coupled Scattering Systems ⋮ Return to equilibrium and stability of dynamics (semigroup dynamics case) ⋮ Scattering matrices for dissipative quantum systems ⋮ Unnamed Item

Cites Work

• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Perturbation of non-selfadjoint operators. I
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