Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics
Andrianov, A. A. ; Ioffe, M. V. ; Nishnianidze, D. N.
arXiv, 9810006 / Harvested from arXiv
Text on arXiv
A class of integrable 2-dim classical systems with integrals of motion of fourth order in momenta is obtained from the quantum analogues with the help of deformed SUSY algebra. With similar technique a new class of potentials connected with Lax method is found which provides the integrability of corresponding 2-dim hamiltonian systems. In addition, some integrable 2-dim systems with potentials expressed in elliptic functions are explored.
Publié le : 1998-10-08
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{9810006,
     author = {Andrianov, A. A. and Ioffe, M. V. and Nishnianidze, D. N.},
     title = {Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810006}
}

Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N. Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810006/