dorsal/arxiv
View SchemaHigher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians
| Authors | A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9605007 |
| URL | https://arxiv.org/abs/solv-int/9605007 |
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.
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"abstract": "The new method based on the SUSY algebra with supercharges of higher order in\nderivatives is proposed to search for dynamical symmetry operators in 2-dim\nquantum and classical systems. These symmetry operators arise when closing the\nSUSY algebra for a wide set of potentials. In some cases they are of 2-nd order\nin derivatives. The particular solutions are obtained also for potentials\naccepting symmetry operators of 4-th order. The investigation of quasiclassical\nlimit of the SUSY algebra yields new classical integrals of motion for a\ncertain type of systems which are polynomials of 4-th order in momenta. The\ngeneral SUSY-inspired algorithm to construct classical systems with additional\nintegrals of motion is outlined.",
"arxiv_id": "solv-int/9605007",
"authors": [
"A. A. Andrianov",
"M. V. Ioffe",
"D. N. Nishnianidze"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Higher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians",
"url": "https://arxiv.org/abs/solv-int/9605007"
},
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