Resonances of diatomic molecules in the born-oppenheimer approximation

DOI10.1080/03605309408821048zbMath0826.35148OpenAlexW2070016036MaRDI QIDQ4304238

Bekkai Messirdi, André Martinez

Publication date: 4 December 1995

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309408821048

zbMATH Keywords

discrete spectrumBorn-Oppenheimer approximationprincipal symbol

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (13)

Resonances of a two-state semiclassical Schrödinger Hamiltonians ⋮ On the Born-Oppenheimer approximation of diatomic molecular resonances ⋮ On the analyticity of electronic reduced densities for molecules ⋮ Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction ⋮ Complex symmetric operators and semiclassical resonances ⋮ Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction ⋮ Quantum Birkhoff-Gustavson normal form in some completely resonant cases ⋮ Unnamed Item ⋮ On the mathematical treatment of the Born-Oppenheimer approximation ⋮ Widths of highly excited resonances in multidimensional molecular predissociation ⋮ Weyl formulae for the Robin Laplacian in the semiclassical limit ⋮ Unnamed Item ⋮ Scattering theory for multistate Schrödinger operators

Cites Work

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• Resonances in Born-Oppenheimer approximation. II: Length of resonances.
• Résonances dans l'approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I)
• A mathematical approach to the effective Hamiltonian in perturbed periodic problems
• On the Born-Oppenheimer expansion for polyatomic molecules
• A theorem of the Phragmen-Lindelöf type for second-order elliptic operators
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Multiple wells in the semi-classical limit I
• On the location of the resonances for schrodinger

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