Quadratic Integrals of Motion for Systems of Identical Particles: The Quantum Case |
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| Authors: | Y. Brihaye C. Gonera P. Kosinski P. Maslanka S. Giller |
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| Affiliation: | (1) Faculte des Sciences, Universite de Mons, 7000 Mons, Belgium;(2) Department of Theoretical Physics II, University of Lodz, Pomorska 149/153, 90-236 Lodz, Poland;(3) Pedagogical University of Czestochowa, Armii Krajowey 13/15, 42-200 Czestochowa, Poland |
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| Abstract: | We consider the quantum dynamical systems of identical particles admitting an additional integral quadratic in momenta and find that an appropriate ordering procedure exists that allows converting the classical integrals into their quantum counterparts. We discuss the relation to the separation of variables in the Schrodinger equation. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 290–294, August, 2005. |
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| Keywords: | quantum integrals of motion Calogero-Sutherland-Moser models separation of variables sl(2 ℝ ) symmetry |
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