Quadratic integrals of motions for the systems of identical particles-quantum case

Details Quadratic integrals of motions for the systems of identical particles-quantum case Quadratic integrals of motions for the systems of identical particles-quantum case

2004-07-28

arxiv.org/abs/nlin/0407064v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, no figures

Scientific paper

10.1007/s11232-005-0141-7

The quantum dynamical systems of identical particles admitting an additional
integral quadratic in momenta are considered. It is found that an appropriate
ordering procedure exists which allows to convert the classical integrals into
their quantum counterparts. The relation to the separation of variables in
Schroedinger equation is discussed.

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