Higher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians

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dc.creatorAndrianov, A. A.
dc.creatorIoffe, M. V.
dc.creatorNishnianidze, D. N.
dc.date1996-05-27
dc.date.accessioned2026-07-07T09:17:52Z
dc.date.available2026-07-07T09:17:52Z
dc.descriptionThe 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.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/solv-int/9605007
dc.identifierhttp://arxiv.org/abs/solv-int/9605007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153825
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleHigher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians
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