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Resonances and microlocal analysis
Author(s) -
Sjöstrand Johannes
Publication year - 1987
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560310505
Subject(s) - semiclassical physics , microlocal analysis , limit (mathematics) , physics , flow (mathematics) , statistical physics , theoretical physics , mathematical physics , mathematics , mathematical analysis , quantum mechanics , fourier integral operator , operator theory , mechanics , quantum
In this paper we outline briefly how microlocal analysis can be applied to give a general approach to the mathematical theory of resonances in the semiclassical limit. We also describe recent results about the asymptotic behavior of resonances generated by closed trajectories and stationary points in the classical flow.