Resonances in three-body scattering theory

DOI10.1016/0196-8858(84)90010-1zbMath0617.47008OpenAlexW2078102211MaRDI QIDQ1822023

Erik Balslev

Publication date: 1984

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(84)90010-1

zbMATH Keywords

S-matrixeigenvalues of a Schrödinger operatorexponential decay of the two-body interactionspoles of an analytically continued resolventresonances in multichannel scattering theorysingular points of the Faddeev matrixsingular points of the Lippman-Schwinger operatorthree body problem for negative energies

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) (n)-body potential quantum scattering theory (81U10) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Related Items

Existence and analyticity of many-body scattering amplitudes at low energies, Threshold singularities of two-cluster–two-cluster scattering amplitudes for dilation analytic potentials, Unnamed Item

Cites Work

• Analytic scattering theory for many-body systems below the smallest three-body threshold
• Abstract stationary theory of multichannel scattering
• Local distortion technique, resonances, and poles of the S-matrix
• A link between scattering resonances and dilation analytic resonances in few body quantum mechanics
• Resonant states and poles of the scattering matrix for perturbations of - \(\Delta\)
• Resonances, scattering theory, and rigged Hilbert spaces
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)
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