Resonances, spectral concentration and exponential decay

DOI10.1007/BF00405583zbMath0346.47019OpenAlexW2093669219MaRDI QIDQ1233606

E. Brian Davies

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf00405583

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items

Resonances under rank-one perturbations, PERTURBATION OF NEAR THRESHOLD EIGENVALUES: CROSSOVER FROM EXPONENTIAL TO NON-EXPONENTIAL DECAY LAWS, Metastable states when the Fermi golden rule constant vanishes, Asymptotic analysis of some abstract evolution equations, Master equations: A survey of rigorous results, Resonances, scattering theory, and rigged Hilbert spaces, Nonexponential decay laws in perturbation theory of near threshold eigenvalues, An adiabatic theorem applicable to the Stark effect

Cites Work

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• Markovian master equations
• The Livsic matrix in perturbation theory
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• On a Factor Automorphism of a Normal Dynamical System
• Spectral Concentration and Virtual Poles