Integrable Mappings for Non--Commutative Objects

Details Integrable Mappings for Non--Commutative Objects Integrable Mappings for Non--Commutative Objects

1996-09-02

arxiv.org/abs/hep-th/9609024v1

Rept.Math.Phys.43:207-214,1999

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/S0034-4877(99)80028-7

The integrable mappings formalism is generalized on non--commutative case. Arising hierarchies of integrable systems are invariant with respect to this "quantum" discrete transformations without any assumption about commutative properties of unknown operators they include. Partially, in the scope of this construction are the equations for Heisenberg operators of quantum (integrable) systems.

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