Hidden Algebra of Three-Body Integrable Systems
Turbiner, Alexander
arXiv, 9805003 / Harvested from arXiv
Text on arXiv
It is shown that all 3-body quantal integrable systems that emerge in the Hamiltonian reduction method possess the same hidden algebraic structure. All of them are given by a second degree polynomial in generators of an infinite-dimensional Lie algebra of differential operators. It leads to new families of the orthogonal polynomials in two variables.
Publié le : 1998-05-08
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Representation Theory,  Mathematics - Spectral Theory 
@article{9805003,
     author = {Turbiner, Alexander},
     title = {Hidden Algebra of Three-Body Integrable Systems},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805003}
}

Turbiner, Alexander. Hidden Algebra of Three-Body Integrable Systems. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805003/