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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 290–294
DOI: https://doi.org/10.4213/tmf1853 (Mi tmf1853) 		 
Quadratic Integrals of Motion for Systems of Identical Particles: The Quantum Case

Y. Brihayea, C. Gonerab, P. Kosinskib, P. Maslankab, S. Gillerc

a Université de Mons–Hainaut
b University of Łódź
c Pedagogical University of Częstochowa
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DOI: https://doi.org/10.4213/tmf1853
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.
Keywords: quantum integrals of motion, Calogero–Sutherland–Moser models, separation of variables, $sl(2,\mathbb{R})$ symmetry.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1128–1131
DOI: https://doi.org/10.1007/s11232-005-0141-7
Bibliographic databases:
Language: Russian
Citation: Y. Brihaye, C. Gonera, P. Kosinski, P. Maslanka, S. Giller, “Quadratic Integrals of Motion for Systems of Identical Particles: The Quantum Case”, TMF, 144:2 (2005), 290–294; Theoret. and Math. Phys., 144:2 (2005), 1128–1131
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1128--1131
\crossref{https://doi.org/10.1007/s11232-005-0141-7}
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  • https://www.mathnet.ru/eng/tmf/v144/i2/p290
    • 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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