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TMF, 2012, Volume 172, Number 3, Pages 355–374 (Mi tmf6941)  

Quantum tops as examples of commuting differential operators

V. E. Adlera, V. G. Marikhina, A. B. Shabatab

a Landau Institute for Theoretical Physics, RAS, Moscow, Russia
b Aliev Karachaevo-Cherkessky State University, Karachaevsk, Russia

Abstract: We study the quantum analogues of tops on the Lie algebras $so(4)$ and $e(3)$ represented by differential operators.

Keywords: quantization, integrable top, operator algebra

DOI: https://doi.org/10.4213/tmf6941

Full text: PDF file (457 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 172:3, 1187–1205

Bibliographic databases:

Received: 27.09.2011

Citation: V. E. Adler, V. G. Marikhin, A. B. Shabat, “Quantum tops as examples of commuting differential operators”, TMF, 172:3 (2012), 355–374; Theoret. and Math. Phys., 172:3 (2012), 1187–1205

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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