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
Link To Document :
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