We show how the superintegrability of certain systems can be deduced from the
presence of multiple parameters in the rational Lax matrix representation. This
is also related to the fact that such systems admit a separation of variables
in parametric families of coordinate systems.
Publié le : 2003-03-06
Classification:
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
High Energy Physics - Theory,
Mathematical Physics
@article{0303009,
author = {Harnad, J. and Yermolayeva, O.},
title = {Superintegrability, Lax matrices and separation of variables},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0303009}
}
Harnad, J.; Yermolayeva, O. Superintegrability, Lax matrices and separation of variables. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303009/