Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 68–80 (Mi znsl4433)  
This article is cited in 12 scientific papers (total in 12 papers)

Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians

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

Institute of Physics, Saint-Petersburg State University
Full-text PDF (503 kB) Citations (12)
Abstract: A new method of finding the dynamic symmetry operators in two-dimensional quantum systems is proposed. This method is based on the SUSY algebra with superchanges of higher order in derivatives. The symmetry operators arise when closing the SUSY algebra for a wide class of potentials, and, in some cases, they are of second order in derivatives. The solutions for potentials admitting symmetry operators of fourth order are also obtained. The investigation of the quasiclassical limit of the superalgebra results in new classical integrals of motion for a certain type of systems. Bibliography: 9 titles.
Received: 07.12.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 150–158
DOI: https://doi.org/10.1007/BF02364976
Bibliographic databases:
Document Type: Article
UDC: 539.12
Language: Russian
Citation: A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 68–80; J. Math. Sci. (New York), 88:2 (1998), 150–158
Citation in format AMSBIB
\Bibitem{AndIofNis95}
\by A.~A.~Andrianov, M.~V.~Ioffe, D.~N.~Nishnianidze
\paper Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 68--80
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4433}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364842}
\zmath{https://zbmath.org/?q=an:0899.58072|0888.58078}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 150--158
\crossref{https://doi.org/10.1007/BF02364976}
Linking options:
  • https://www.mathnet.ru/eng/znsl4433
  • https://www.mathnet.ru/eng/znsl/v224/p68
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:130
    Full-text PDF :58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024