DocumentCode
3446312
Title
Birkhoff resonances and quantum ray method
Author
Karasev, M.
fYear
2004
fDate
June 29 2004-July 2 2004
Firstpage
114
Lastpage
126
Abstract
The known problem of resonances in the semiclassical approximation theory is analyzed. It is shown how a specific ??quantum behavior?? near the resonance motion appears. In the classical limit, we observe a Poisson micro-geometry concomitant with the resonance. We discuss what the corresponding quantum geometry is and construct irreducible representations of resonance algebras and their coherent states. This results in solving the resonance problems in question.
Keywords
Eigenvalues and eigenfunctions; Frequency; Geometry; Oscillators; Polynomials; Quantum mechanics; Resonance;
fLanguage
English
Publisher
ieee
Conference_Titel
Days on Diffraction, 2004. Proceedings of the International Seminar
Conference_Location
Saint Petersburg, Russia
Print_ISBN
5-9651-0064-7
Type
conf
DOI
10.1109/DD.2004.186021
Filename
1459228
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