dorsal/arxiv
View SchemaClassical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics
| Authors | A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9810006 |
| URL | https://arxiv.org/abs/solv-int/9810006 |
| DOI | 10.1088/0305-4470/32/25/307 |
| Journal | J.Phys.A32:4641,1999 |
Abstract
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.
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"abstract": "A class of integrable 2-dim classical systems with integrals of motion of\nfourth order in momenta is obtained from the quantum analogues with the help of\ndeformed SUSY algebra. With similar technique a new class of potentials\nconnected with Lax method is found which provides the integrability of\ncorresponding 2-dim hamiltonian systems. In addition, some integrable 2-dim\nsystems with potentials expressed in elliptic functions are explored.",
"arxiv_id": "solv-int/9810006",
"authors": [
"A. A. Andrianov",
"M. V. Ioffe",
"D. N. Nishnianidze"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI",
"quant-ph"
],
"doi": "10.1088/0305-4470/32/25/307",
"journal_ref": "J.Phys.A32:4641,1999",
"title": "Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics",
"url": "https://arxiv.org/abs/solv-int/9810006"
},
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