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Resonance widths for the molecular predissociation

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Publication:459052
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DOI10.2140/apde.2014.7.1027zbMath1322.35102arXiv1205.5196OpenAlexW3102357175MaRDI QIDQ459052

Alain Grigis, André Martinez

Publication date: 8 October 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5196

zbMATH Keywords

resonancesBorn-Oppenheimer approximationmicrolocal analysiseigenvalue crossing


Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34)


Related Items

Energy-time uncertainty principle and lower bounds on sojourn time, Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction, Asymptotic distribution of resonances for matrix Schrödinger operator in one dimension, Mathematical study of scattering resonances, Widths of highly excited resonances in multidimensional molecular predissociation, Scattering theory for multistate Schrödinger operators



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