On spectral properties of the resonances for selected potential scattering systems

DOI10.1063/1.3072675zbMath1202.81198OpenAlexW2040853030WikidataQ126085212 ScholiaQ126085212MaRDI QIDQ3650456

H. Kaldass, Hellmut Baumgärtel, Soliman R. Komy

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3072675

zbMATH Keywords

quantum theoryprobabilityangular momentumpotential scatteringeigenvalues and eigenfunctions

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Local spectral properties of linear operators (47A11)

Cites Work

• Truncated Gamow functions, \(\alpha\)-decay and the exponential law
• Derivation of Gamow vectors for resonances in cut-off potentials
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• A rigged Hilbert space of Hardy-class functions: Applications to resonances

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