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New integrable two-dimensional systems generated by deformed susy algebras. / Andrianov, A.; Ioffe, M.; Nishnianidze, D.

In: Journal of Mathematical Sciences , Vol. 104, No. 3, 01.01.2001, p. 1184-1194.

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Harvard

Andrianov, A, Ioffe, M & Nishnianidze, D 2001, 'New integrable two-dimensional systems generated by deformed susy algebras', Journal of Mathematical Sciences , vol. 104, no. 3, pp. 1184-1194. https://doi.org/10.1023/A:1011305108663

APA

Vancouver

Author

Andrianov, A. ; Ioffe, M. ; Nishnianidze, D. / New integrable two-dimensional systems generated by deformed susy algebras. In: Journal of Mathematical Sciences . 2001 ; Vol. 104, No. 3. pp. 1184-1194.

BibTeX

@article{16dc996a11fa4b69bcde06aca453ddbf,
title = "New integrable two-dimensional systems generated by deformed susy algebras",
abstract = "New solutions of intertwining relations for two-dimensional scalar quantum Hamiltonians by second-order supercharges with Lorentz and degenerate metrics are obtained. The symmetry operators for components of superhamiltonian that lead to integrability of corresponding systems are found. Expressions for the Hamiltonians and the symmetry operators in the classical limit are constructed. A new class of integrable two-dimensional classical systems with integrals of motion of fourth order in momenta is obtained.",
author = "A. Andrianov and M. Ioffe and D. Nishnianidze",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1011305108663",
language = "English",
volume = "104",
pages = "1184--1194",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - New integrable two-dimensional systems generated by deformed susy algebras

AU - Andrianov, A.

AU - Ioffe, M.

AU - Nishnianidze, D.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - New solutions of intertwining relations for two-dimensional scalar quantum Hamiltonians by second-order supercharges with Lorentz and degenerate metrics are obtained. The symmetry operators for components of superhamiltonian that lead to integrability of corresponding systems are found. Expressions for the Hamiltonians and the symmetry operators in the classical limit are constructed. A new class of integrable two-dimensional classical systems with integrals of motion of fourth order in momenta is obtained.

AB - New solutions of intertwining relations for two-dimensional scalar quantum Hamiltonians by second-order supercharges with Lorentz and degenerate metrics are obtained. The symmetry operators for components of superhamiltonian that lead to integrability of corresponding systems are found. Expressions for the Hamiltonians and the symmetry operators in the classical limit are constructed. A new class of integrable two-dimensional classical systems with integrals of motion of fourth order in momenta is obtained.

UR - http://www.scopus.com/inward/record.url?scp=52549087083&partnerID=8YFLogxK

U2 - 10.1023/A:1011305108663

DO - 10.1023/A:1011305108663

M3 - Article

AN - SCOPUS:52549087083

VL - 104

SP - 1184

EP - 1194

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 41030990