Structural isomers, double wells, resonances, and Dirichlet decoupling

DOI10.1016/0003-4916(84)90051-4zbMath0555.35027OpenAlexW2047136391MaRDI QIDQ760584

E. Brian Davies

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0003-4916(84)90051-4

zbMATH Keywords

Schrödinger operatorsDirichlet boundary conditionresonancesfunctional integrationDirichlet decouplingdouble wellsstructural isomers

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functional calculus for linear operators (47A60) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Unnamed Item ⋮ Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators

Cites Work

• Spectral properties of metastable Markov semigroups
• An adiabatic theorem applicable to the Stark effect
• Krein's formula and one-dimensional multiple-well
• Convergent expansions for tunneling
• Double wells
• The mathematical theory of resonances whose widths are exponentially small
• New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
• Perturbation theory for shape resonances and large barrier potentials
• On the rate of asymptotic eigenvalue degeneracy
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Schrödinger semigroups
• Metastable States of Symmetric Markov Semigroups II
• THE RATE OF RESOLVENT AND SEMIGROUP CONVERGENCE
• HYPERCONTRACTIVE AND RELATED BOUNDS FOR DOUBLE WELL SCHRÖDINGER HAMILTONIANS
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