Nonexponential decay laws in perturbation theory of near threshold eigenvalues

DOI10.1063/1.3046562zbMath1200.81062OpenAlexW2116893363MaRDI QIDQ3650889

Gheorghe Nenciu, Arne Jensen, Victor Dinu

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3046562

zbMATH Keywords

perturbation theoryprobabilitySchrödinger equationeigenvalues and eigenfunctionstime dependence of the quantum survival probability

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items

Decays of unstable quantum systems ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Amplification of non-Markovian decay due to bound state absorption into continuum ⋮ A quantum model of Feshbach resonances ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Perturbations of eigenvalues embedded at threshold: Two-dimensional solvable models

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