Higher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians
solv-int
2008-02-03 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
The new method based on the SUSY algebra with supercharges of higher order in derivatives is proposed to search for dynamical symmetry operators in 2-dim quantum and classical systems. These symmetry operators arise when closing the SUSY algebra for a wide set of potentials. In some cases they are of 2-nd order in derivatives. The particular solutions are obtained also for potentials accepting symmetry operators of 4-th order. The investigation of quasiclassical limit of the SUSY algebra yields new classical integrals of motion for a certain type of systems which are polynomials of 4-th order in momenta. The general SUSY-inspired algorithm to construct classical systems with additional integrals of motion is outlined.
Keywords
Cite
@article{arxiv.solv-int/9605007,
title = {Higher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians},
author = {A. A. Andrianov and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:solv-int/9605007},
year = {2008}
}
Comments
11 pages, LaTeX