Exponential decay near resonance, without analyticity

DOI10.1007/BF01885499zbMath0737.58064OpenAlexW2073570952MaRDI QIDQ1180730

Christopher K. King

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01885499

zbMATH Keywords

Hamiltonianresonanceeigenstatesmetastable stateexponential decaytwo-state atom

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05)

Related Items

Resonant decay of a two state atom interacting with a massless non- relativistic quantised scalar field ⋮ The Fermi golden rule and its form at thresholds in odd dimensions ⋮ Mathematical theory of nonrelativistic matter and radiation ⋮ Resonances under rank-one perturbations ⋮ GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS ⋮ Unstable states in a model of nonrelativistic quantum electrodynamics: corrections to the Lorentzian distribution ⋮ Scattering theory for a model of an atom in a quantized field ⋮ Threshold properties of matrix-valued Schrödinger operators. II: Resonances ⋮ EXISTENCE OF ALMOST EXPONENTIALLY DECAYING STATES FOR BARRIER POTENTIALS ⋮ Remarks on Sojourn Time Estimates for Periodic Time-dependent Quantum Systems ⋮ Perturbations of eigenvalues embedded at threshold: Two-dimensional solvable models ⋮ Resonant Decay Near an Accumulation Point

Cites Work

• Truncated Gamow functions, \(\alpha\)-decay and the exponential law
• 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
• Unnamed Item
• Unnamed Item