This article is cited in 1 paper

Quantum tops as examples of commuting differential operators

V. E. Adler^a, V. G. Marikhin^a, A. B. Shabat<sup>ab

a</sup> 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.

Received: 27.09.2011

DOI: 10.4213/tmf6941

 English version: Theoretical and Mathematical Physics, 2012, 172:3, 1187–1205

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