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Estimates on Complex Interactions in Phase Space
Author(s) -
Martinez André
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941670109
Subject(s) - mathematics , phase space , hilbert space , transformation (genetics) , manifold (fluid mechanics) , fourier transform , pure mathematics , phase (matter) , domain (mathematical analysis) , space (punctuation) , mathematical analysis , exponential function , quantum mechanics , physics , mechanical engineering , biochemistry , chemistry , linguistics , philosophy , engineering , gene
We propose a method to study the complex interactions (or microlocal tunneling) between electronic levels that do not intersect in the real domain. The method consists in using a special kind of Fourier‐Bros‐Iagolnitzer transformation, and in adjoining an exponential weight to the L 2 ‐type Hilbert spaces which are associated to a complex Lagrangian manifold and have been introduced by Helffer and Sjöstrand for the study of resonances.