Phase space tunneling for operators with symbols in a Gevrey class

DOI10.1063/1.533355zbMath0974.35136OpenAlexW2030763229MaRDI QIDQ2738054

Klaus Jung

Publication date: 30 August 2001

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

Full work available at URL: http://cds.cern.ch/record/436800

zbMATH Keywords

Hamiltonianexponential decay of eigenfunctions in phase spacesymbols with Gevrey class regularity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Pseudodifferential operators (47G30)

Related Items (4)

Phase space tunneling in multistate scattering ⋮ On Gevrey singularities of microhyperbolic operators ⋮ Almost exponential decay of quantum resonance states and Paley-Wiener type estimates in Gevrey spaces ⋮ Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class

Cites Work

• Linear adiabatic theory. Exponential estimates
• Precise exponential estimates in adiabatic theory
• Estimates on Complex Interactions in Phase Space
• ON MARTINEZ’ METHOD OF PHASE SPACE TUNNELING
• Adiabatic invariance and the regularity of perturbations

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