Integrable deformations of Hamiltonian systems and q-symmetries

Details Integrable deformations of Hamiltonian systems and q-symmetries Integrable deformations of Hamiltonian systems and q-symmetries

1999-07-26

arxiv.org/abs/math/9907169v1

Mathematics

Quantum Algebra

11 pages, LaTeX. Contribution to the III Classical and Quantum Integrable Systems. Edited by L.G. Mardoyan, G.S. Pogosyan and

Scientific paper

The complete integrability of the hyperbolic Gaudin Hamiltonian and other related integrable systems is shown to be easily derived by taking into account their sl(2,R) coalgebra symmetry. By using the properties induced by such a coalgebra structure, it can be proven that the introduction of any quantum deformation of the sl(2,R) algebra will provide an integrable deformation for such systems. In particular, the Gaudin Hamiltonian arising from the non-standard quantum deformation of the sl(2,R) Poisson algebra is presented, including the explicit expressions for its integrals of motion. A completely integrable system of nonlinearly coupled oscillators derived from this deformation is also introduced.

Affiliated with

Also associated with

No associations

Rating

Integrable deformations of Hamiltonian systems and q-symmetries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrable deformations of Hamiltonian systems and q-symmetries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable deformations of Hamiltonian systems and q-symmetries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-619597