Resonant Decay Near an Accumulation Point

DOI10.1142/S0129055X97000087zbMath0874.47041MaRDI QIDQ3130095

Christopher K. King, Roger Waxler

Publication date: 22 April 1997

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

zbMATH Keywords

resonancesapproximately exponential decayembedded accumulation pointmeta-stable statesperturbation of a sequence of embedded simple eigenvalues

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Exponential decay near resonance, without analyticity
• Scattering theory for a model of an atom in a quantized field
• Low-energy chain of resonances for three-dimensional Schrödinger operator with nearly Coulomb potential
• Mathematical theory of nonrelativistic matter and radiation
• The time evolution of a class of meta-stable states
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Resonances, metastable states and exponential decay laws in perturbation theory
• THE SPECTRUM OF A HYDROGEN ATOM IN AN INTENSE MAGNETIC FIELD
• GROUND STATE RESONANCES OF A HYDROGEN ATOM IN AN INTENSE MAGNETIC FIELD
• On the perturbation of continuous spectra

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