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. Bibliography: 23 titles.
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Andrianov, A., Ioffe, M. & Nishnianidze, D. New Integrable Two-Dimensional Systems Generated by Deformed Susy Algebras. Journal of Mathematical Sciences 104, 1184–1194 (2001). https://doi.org/10.1023/A:1011305108663
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DOI: https://doi.org/10.1023/A:1011305108663