Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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