Local distortion technique, resonances, and poles of the S-matrix

DOI10.1016/0022-247X(77)90077-4zbMath0361.47018MaRDI QIDQ1239466

Arne Jensen

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (15)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians ⋮ Unnamed Item ⋮ Perturbation of resonances ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Unnamed Item ⋮ Scattering poles for asymptotically hyperbolic manifolds ⋮ Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials ⋮ Analytic scattering theory of two-body Schrödinger operators ⋮ A link between scattering resonances and dilation analytic resonances in few body quantum mechanics ⋮ Local spectral deformation techniques for Schrödinger operators ⋮ Resonances in three-body scattering theory ⋮ Unnamed Item ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Perturbation of resonances in quantum mechanics

Cites Work

• A characterization of dilation-analytic potentials and vectors
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Resonant states and poles of the scattering matrix for perturbations of - \(\Delta\)
• Quadratic form techniques and the Balslev-Combes theorem
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

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