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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 48, Number 3, Pages 319–323 (Mi tmf2494)  

This article is cited in 22 scientific papers (total in 22 papers)

Trace formulas for the quantum nonlinear Schrödinger equation

A. G. Izergin, V. E. Korepin, F. A. Smirnov
References:
Abstract: In the framework of the quantum inverse scattering method, local integrals of the motion are obtained for the nonlinear Schrödinger equation.
Received: 18.02.1981
English version:
Theoretical and Mathematical Physics, 1981, Volume 48, Issue 3, Pages 773–776
DOI: https://doi.org/10.1007/BF01019312
Bibliographic databases:
Language: Russian
Citation: A. G. Izergin, V. E. Korepin, F. A. Smirnov, “Trace formulas for the quantum nonlinear Schrödinger equation”, TMF, 48:3 (1981), 319–323; Theoret. and Math. Phys., 48:3 (1981), 773–776
Citation in format AMSBIB
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\by A.~G.~Izergin, V.~E.~Korepin, F.~A.~Smirnov
\paper Trace formulas for the quantum nonlinear Schr\"odinger equation
\jour TMF
\yr 1981
\vol 48
\issue 3
\pages 319--323
\mathnet{http://mi.mathnet.ru/tmf2494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=662409}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 48
\issue 3
\pages 773--776
\crossref{https://doi.org/10.1007/BF01019312}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NL03000004}
Linking options:
  • https://www.mathnet.ru/eng/tmf2494
  • https://www.mathnet.ru/eng/tmf/v48/i3/p319
  • This publication is cited in the following 22 articles:
    1. N. A. Slavnov, “Algebraic Bethe ansatz approach to the correlation functions of the one-dimensional bosons with attraction”, JHEP, 2024 (2024), 61  mathnet  crossref  isi
    2. A. Melikyan, A. Pinzul, G. Weber, “Higher charges and regularized quantum trace identities in su(1,1) Landau–Lifshitz model”, Journal of Mathematical Physics, 51:12 (2010)  crossref
    3. T. C. Dorlas, “Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schroedinger model”, Commun.Math. Phys., 154:2 (1993), 347  crossref
    4. D. A. Coker, Springer Series in Nonlinear Dynamics, Nonlinear Processes in Physics, 1993, 87  crossref
    5. A. Roy Chowdhury, Shibani Sen, “Quantum inverse problem for an extended derivative nonlinear Schrödinger system”, Phys. Rev. D, 35:4 (1987), 1280  crossref
    6. N. M. Bogolyubov, V. E. Korepin, “Quantum nonlinear Schrödinger equation on a lattice”, Theoret. and Math. Phys., 66:3 (1986), 300–305  mathnet  crossref  mathscinet  isi
    7. N. M. Bogolyubov, “Thermodynamics of a one-dimensional lattice Bose gas”, Theoret. and Math. Phys., 67:3 (1986), 614–622  mathnet  crossref  mathscinet  isi
    8. A. G. Izergin, V. E. Korepin, “Lattice regularizations of two-dimensional quantum-field models”, J Math Sci, 34:5 (1986), 1937  crossref
    9. A. G. Izergin, V. E. Korepin, “The Pauli principle for one-dimensional bosons and the algebraic bethe ansatz”, J Math Sci, 34:5 (1986), 1933  crossref
    10. I. M. Khamitov, “Local fields in the inverse scattering method”, Theoret. and Math. Phys., 62:3 (1985), 217–224  mathnet  crossref  mathscinet  isi
    11. N. M. Bogolyubov, V. E. Korepin, “Temperature dependence of the correlation length in a one-dimensional Bose gas”, Theoret. and Math. Phys., 64:1 (1985), 708–715  mathnet  crossref  mathscinet  isi
    12. N.M. Bogoliubov, V.E. Korepin, “Correlation length of the one-dimensional Bose gas”, Nuclear Physics B, 257 (1985), 766  crossref
    13. A. G. Izergin, V. E. Korepin, “Correlation functions in the quantum inverse scattering method”, J Math Sci, 31:6 (1985), 3317  crossref
    14. N.M. Bogoliubov, V.E. Korepin, “Correlation length of the one-dimensional Bose gas”, Physics Letters A, 111:8-9 (1985), 419  crossref
    15. N. M. Bogolyubov, V. E. Korepin, “Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium”, Theoret. and Math. Phys., 60:2 (1984), 808–814  mathnet  crossref  mathscinet  isi
    16. A. G. Izergin, V. E. Korepin, “The quantum inverse scattering method approach to correlation functions”, Commun.Math. Phys., 94:1 (1984), 67  crossref
    17. V. O. Tarasov, L. A. Takhtadzhyan, L. D. Faddeev, “Local Hamiltonians for integrable quantum models on a lattice”, Theoret. and Math. Phys., 57:2 (1983), 1059–1073  mathnet  crossref  mathscinet  isi
    18. N. M. Bogolyubov, “On the physical sector of the lattice sine-Gordon model”, Theoret. and Math. Phys., 51:3 (1982), 540–547  mathnet  crossref  mathscinet  isi
    19. F. A. Smirnov, “Connection between the sine-Gordon model and the massive bose thirring model”, Theoret. and Math. Phys., 53:3 (1982), 1153–1160  mathnet  crossref  mathscinet  isi
    20. P. P. Kulish, E. K. Sklyanin, Lecture Notes in Physics, 151, Integrable Quantum Field Theories, 1982, 61  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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