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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 1, Pages 157–160 (Mi tmf5431)  

This article is cited in 34 scientific papers (total in 35 papers)

Contraction of quantum algebras and q oscillators

P. P. Kulish
References:
Abstract: Algebras of a q oscillator and super q oscillator are obtained by contraction of quantum algebras of rank one in the limit of infinite spin. Irreducible representations are constructed.
Received: 16.07.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 86, Issue 1, Pages 108–110
DOI: https://doi.org/10.1007/BF01018504
Bibliographic databases:
Language: Russian
Citation: P. P. Kulish, “Contraction of quantum algebras and q oscillators”, TMF, 86:1 (1991), 157–160; Theoret. and Math. Phys., 86:1 (1991), 108–110
Citation in format AMSBIB
\Bibitem{Kul91}
\by P.~P.~Kulish
\paper Contraction of quantum algebras and $q$~oscillators
\jour TMF
\yr 1991
\vol 86
\issue 1
\pages 157--160
\mathnet{http://mi.mathnet.ru/tmf5431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1106831}
\zmath{https://zbmath.org/?q=an:0735.17022}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 1
\pages 108--110
\crossref{https://doi.org/10.1007/BF01018504}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GC79000014}
Linking options:
  • https://www.mathnet.ru/eng/tmf5431
  • https://www.mathnet.ru/eng/tmf/v86/i1/p157
  • This publication is cited in the following 35 articles:
    1. Xin Zhang, Zhaowen Yan, “The fermion representation of the generalized phase model”, Nuclear Physics B, 1002 (2024), 116532  crossref
    2. Vlaar B. Weston R., “A Q-Operator For Open Spin Chains i. Baxter'S Tq Relation”, J. Phys. A-Math. Theor., 53:24 (2020), 245205  crossref  isi
    3. Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201  crossref  isi
    4. Ricardo Kullock, Danilo Latini, “Towards classical spectrum generating algebras for f-deformations”, Physics Letters A, 380:3 (2016), 327  crossref
    5. “Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19  mathnet  mathscinet
    6. Satoshi Okuda, Yutaka Yoshida, “G/G gauged WZW-matter model, Bethe Ansatz for q-boson model and Commutative Frobenius algebra”, J. High Energ. Phys., 2014:3 (2014)  crossref
    7. V. V. Borzov, “Generalized oscillator and its coherent states”, Theoret. and Math. Phys., 153:3 (2007), 1656–1670  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. N. V. Tsilevich, “Quantum Inverse Scattering Method for the q-Boson Model and Symmetric Functions”, Funct. Anal. Appl., 40:3 (2006), 207–217  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. N. Aizawa, R. Chakrabarti, S. S. Naina Mohammed, J. Segar, “Universal T-matrix, representations of OSpq(1∕2) and little Q-Jacobi polynomials”, Journal of Mathematical Physics, 47:12 (2006)  crossref
    10. Petr P. Kulish, Anton M. Zeitlin, “Superconformal field theory and SUSY N=1 KdV hierarchy II: the Q-operator”, Nuclear Physics B, 709:3 (2005), 578  crossref
    11. Christian Korff, “Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz”, J. Phys. A: Math. Gen., 37:29 (2004), 7227  crossref
    12. M. V. Karasev, E. M. Novikova, “Nonlinear Commutation Relations: Representations by Point-Supported Operators”, Math. Notes, 72:1 (2002), 48–65  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. Marco Rossi, Robert Weston, “A generalizedQ-operator forUqvertex models”, J. Phys. A: Math. Gen., 35:47 (2002), 10015  crossref
    14. Yu. S. Vernov, M. N. Mnatsakanova, “Regular Representations of the Generalized Heisenberg Algebra”, Theoret. and Math. Phys., 129:2 (2001), 1494–1500  mathnet  crossref  crossref  mathscinet  zmath  isi
    15. N. M. Bogolyubov, A. G. Izergin, A. L. Kitanin, A. G. Pronko, “The Probabilities of Survival and Hopping of States in the Phase Model on a Finite Lattice”, Proc. Steklov Inst. Math., 226 (1999), 29–41  mathnet  mathscinet  zmath
    16. DEMOSTHENES ELLINAS, PANAGIOTIS MANIADIS, “q-SYMMETRIES IN DNLS-AL CHAINS AND EXACT SOLUTIONS OF QUANTUM DIMERS”, Int. J. Mod. Phys. B, 13:26 (1999), 3087  crossref
    17. M. Karasev, E. Novikova, “Coherent transform of the spectral problem and algebras with nonlinear commutation relations”, J Math Sci, 95:6 (1999), 2703  crossref
    18. Michèle Irac-Astaud, Guy Rideau, “Bargmann Representations for Deformed Harmonic Oscillators”, Rev. Math. Phys., 10:08 (1998), 1061  crossref
    19. A. Guichardet, “On the representations of a Q-oscillator algebra”, Journal of Mathematical Physics, 39:9 (1998), 4965  crossref
    20. Yu. S. Vernov, M. N. Mnatsakanova, “Algebra of q-deformed commutators in an indefinite metric space”, Theoret. and Math. Phys., 113:3 (1997), 1497–1507  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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