Quantum Completely Integrable Systems Connected with Semisimple Lie Algebras - INSPIRE

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Quantum Completely Integrable Systems Connected with Semisimple Lie Algebras

M.A. Olshanetsky
(
- Moscow, ITEP
)
,
A.M. Perelomov
(
- Moscow, ITEP
)

1976

13 pages

Published in:

Lett.Math.Phys. 2 (1977) 7-13

DOI:

10.1007/BF00420664

Report number:

ITEP-172-1976

View in:

AMS MathSciNet

reference search58 citations

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Abstract: (Springer)

The quantum version of the dynamical systems whose integrability is related to the root systems of semi-simple Lie algebras are considered. It is proved that the operators Ĵk introduced by Calogero et al. are integrals of motion and that they commute. The explicit form of another class of integrals of motion is given for systems with few degrees of freedom.

QUANTUM MECHANICS
ALGEBRA: LIE

References(15)

Figures(0)

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