Resonances in Born-Oppenheimer approximation. II: Length of resonances.

DOI10.1007/BF02104119zbMath0737.35047OpenAlexW2050419172MaRDI QIDQ1174268

André Martinez

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02104119

zbMATH Keywords

eigenvaluesSchrödinger operatorresonanceswell

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (14)

Unnamed Item ⋮ Unnamed Item ⋮ Resonances of diatomic molecules in the born-oppenheimer approximation ⋮ On the number of negative eigenvalues of an elliptic operator ⋮ Un majorant du nombre des valeurs propres négatives correspondantes à l'opérateur de Schrödinger généralisé. ⋮ Unnamed Item ⋮ Résonances dans l'approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I) ⋮ On the Born-Oppenheimer expansion for polyatomic molecules ⋮ Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum ⋮ On the mathematical treatment of the Born-Oppenheimer approximation ⋮ MOLECULAR PROPAGATION THROUGH SMALL AVOIDED CROSSINGS OF ELECTRON ENERGY LEVELS ⋮ Unnamed Item ⋮ Exponentially accurate semiclassical asymptotics of low-lying eigenvalues for \(2\times 2\) matrix Schrödinger operators ⋮ Unnamed Item

Cites Work

• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Multiple wells in the semi-classical limit I
• Diffraction analytique sur une variete a singularite conique.
• Fonctions harmoniques et spectre singulier

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