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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 1, Pages 3–13
DOI: https://doi.org/10.4213/tmf514 (Mi tmf514) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Quantum Hamiltonian Systems on K-Orbits: Semiclassical Spectrum of the Asymmetric Top

S. P. Baranovskii, V. V. Mikheyev, I. V. Shirokov

Omsk State University
Full-text PDF (230 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf514
Abstract: We consider equations on Lie groups and classical and quantum Hamiltonian systems on coadjoint representation orbits. We show that the transition to canonical coordinates on orbits of the coadjoint representation allows constructing semiclassical solutions and the corresponding spectra of quantum equations such that all the symmetries of the original problem are preserved. Our method is used to find the semiclassical spectrum of the asymmetric quantum top.
Received: 28.02.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 1, Pages 1311–1319
DOI: https://doi.org/10.1023/A:1012455908565
Bibliographic databases:
Language: Russian
Citation: S. P. Baranovskii, V. V. Mikheyev, I. V. Shirokov, “Quantum Hamiltonian Systems on K-Orbits: Semiclassical Spectrum of the Asymmetric Top”, TMF, 129:1 (2001), 3–13; Theoret. and Math. Phys., 129:1 (2001), 1311–1319
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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