Long range integrable oscillator chains from quantum algebras

Details Long range integrable oscillator chains from quantum algebras Long range integrable oscillator chains from quantum algebras

1998-05-08

arxiv.org/abs/solv-int/9805004v1

Mathematics

Quantum Algebra

17 pages, LaTeX

Scientific paper

Completely integrable Hamiltonians defining classical mechanical systems of $N$ coupled oscillators are obtained from Poisson realizations of Heisenberg--Weyl, harmonic oscillator and $sl(2,\R)$ coalgebras. Various completely integrable deformations of such systems are constructed by considering quantum deformations of these algebras. Explicit expressions for all the deformed Hamiltonians and constants of motion are given, and the long-range nature of the interactions is shown to be linked to the underlying coalgebra structure. The relationship between oscillator systems induced from the $sl(2,\R)$ coalgebra and angular momentum chains is presented, and a non-standard integrable deformation of the hyperbolic Gaudin system is obtained.

Affiliated with

Also associated with

No associations

Rating

Long range integrable oscillator chains from quantum algebras 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 Long range integrable oscillator chains from quantum algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long range integrable oscillator chains from quantum algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-202693