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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 1, Pages 131–137
DOI: https://doi.org/10.4213/tmf6234 (Mi tmf6234) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integrable model of a two-dimensional singular spherical oscillator in a constant magnetic field

K. S. Aramyan

Artsakh State University
Full-text PDF (343 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6234
Abstract: We propose an analogue of a two-dimensional singular oscillator (Smorodinsky–Winternitz oscillator) on a sphere, which is exactly solvable in the classical sense both without and with a constant magnetic field. We find the explicit classical solutions.
Keywords: singular oscillator, magnetic field, integrable model.
Received: 17.05.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 1, Pages 1075–1080
DOI: https://doi.org/10.1007/s11232-008-0099-3
Bibliographic databases:
Language: Russian
Citation: K. S. Aramyan, “Integrable model of a two-dimensional singular spherical oscillator in a constant magnetic field”, TMF, 156:1 (2008), 131–137; Theoret. and Math. Phys., 156:1 (2008), 1075–1080
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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