PERTURBATION OF NEAR THRESHOLD EIGENVALUES: CROSSOVER FROM EXPONENTIAL TO NON-EXPONENTIAL DECAY LAWS

DOI10.1142/S0129055X11004230zbMath1217.81082OpenAlexW2156166096MaRDI QIDQ3011492

Gheorghe Nenciu, Arne Jensen, Victor Dinu

Publication date: 29 June 2011

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

Full work available at URL: https://doi.org/10.1142/s0129055x11004230

zbMATH Keywords

Fermi golden ruleexponential decaydecay lawsnon-exponential decay

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) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Quantum scattering theory (81U99)

Related Items (5)

THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Metastable states when the Fermi golden rule constant vanishes ⋮ A quantum model of Feshbach resonances ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

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