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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 260–272 (Mi znsl3653)  
$q$-Deformed superspace and $q$-extended supersymmetric Hamiltonian with arbitrary superpotential

K. N. Ilinskia, A. S. Stepanenkob

a St.-Petersburg Steklov Mathematical Institute
b Service de Physique Theórique, CE-Saclay, Gif-sur-Yvette, France
Full-text PDF (466 kB)
Abstract: A $q$-deformation of an extended supersymmetry is described, and a $q$-extended supersymmetric Hamiltonian is constructed. The procedure of the canonical quantization is developed. Bibl. 15 titles.
Received: 12.05.1993
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1611–1619
DOI: https://doi.org/10.1007/BF02365208
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: K. N. Ilinski, A. S. Stepanenko, “$q$-Deformed superspace and $q$-extended supersymmetric Hamiltonian with arbitrary superpotential”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 260–272; J. Math. Sci. (New York), 94:4 (1999), 1611–1619
Citation in format AMSBIB
\Bibitem{IliSte96}
\by K.~N.~Ilinski, A.~S.~Stepanenko
\paper $q$-Deformed superspace and $q$-extended supersymmetric Hamiltonian with arbitrary superpotential
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 260--272
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856101}
\zmath{https://zbmath.org/?q=an:0943.58005}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1611--1619
\crossref{https://doi.org/10.1007/BF02365208}
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