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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 251, Pages 159–177 (Mi znsl677)  
New integrable systems generated by a deformed supersymmetric algebra

A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze

Saint-Petersburg State University
Full-text PDF (223 kB)
Abstract: New solutions of the intertwining relations for scalar quantum hamiltonians by the second order supercharges with the Lorentz and degenerate metrics are obtained. The symmetry operators for the components of the superhamiltonian are found which result in the integrability of the corresponding quantum systems. The expressions for the hamiltonians and symmetry operators in the classical limit are given. A new class of integrable classical two-dimensional systems possesing the integrals of motion which are of the fourth order in momenta.
Received: 25.08.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 3, Pages 1184–1194
DOI: https://doi.org/10.1023/A:1011305108663
Bibliographic databases:
UDC: 539.12
Language: Russian
Citation: A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “New integrable systems generated by a deformed supersymmetric algebra”, Questions of quantum field theory and statistical physics. Part 15, Zap. Nauchn. Sem. POMI, 251, POMI, St. Petersburg, 1998, 159–177; J. Math. Sci. (New York), 104:3 (2001), 1184–1194
Citation in format AMSBIB
\Bibitem{AndIofNis98}
\by A.~A.~Andrianov, M.~V.~Ioffe, D.~N.~Nishnianidze
\paper New integrable systems generated by a deformed supersymmetric algebra
\inbook Questions of quantum field theory and statistical physics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 251
\pages 159--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737874}
\zmath{https://zbmath.org/?q=an:0981.81029}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 3
\pages 1184--1194
\crossref{https://doi.org/10.1023/A:1011305108663}
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