Almost exponential decay of quantum resonance states and Paley-Wiener type estimates in Gevrey spaces

DOI10.1007/S00023-010-0036-5zbMath1208.81092OpenAlexW1964679484MaRDI QIDQ625721

Juan-Miguel Gracia

Publication date: 25 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-010-0036-5

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum scattering theory (81U99) Resonance in context of PDEs (35B34) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Metastable states when the Fermi golden rule constant vanishes ⋮ Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups

Cites Work

• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Quadratic form techniques and the Balslev-Combes theorem
• Resonances, metastable states and exponential decay laws in perturbation theory
• Phase space tunneling for operators with symbols in a Gevrey class
• Adiabatic invariance and the regularity of perturbations
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