Perturbations of integrable systems and Dyson-Mehta integrals

Details Perturbations of integrable systems and Dyson-Mehta integrals Perturbations of integrable systems and Dyson-Mehta integrals

2003-09-10

arxiv.org/abs/hep-th/0309109v1

Physics

High Energy Physics

High Energy Physics - Theory

17pp, LaTeX, to be published in Proceedings of the Workshop "Superintegrable systems in classical and quantum mechanics", Mont

Scientific paper

We show that the existence of algebraic forms of quantum, exactly-solvable, completely-integrable $A-B-C-D$ and $G_2, F_4, E_{6,7,8}$ Olshanetsky-Perelomov Hamiltonians allow to develop the {\it algebraic} perturbation theory, where corrections are computed by pure linear algebra means. A Lie-algebraic classification of such perturbations is given. In particular, this scheme admits an explicit study of anharmonic many-body problems. The approach also allows to calculate the ratios of a certain generalized Dyson-Mehta integrals algebraically, which are interested by themselves.

Affiliated with

Also associated with

No associations

Rating

Perturbations of integrable systems and Dyson-Mehta integrals 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 Perturbations of integrable systems and Dyson-Mehta integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbations of integrable systems and Dyson-Mehta integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348966