N. M. Bogolyubov, V. E. Korepin, “Quantum nonlinear Schrödinger equation on a lattice”, TMF, 66:3 (1986), 455–462; Theoret. and Math. Phys., 66:3 (1986), 300

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 3, Pages 455–462 (Mi tmf4641)

This article is cited in 7 scientific papers (total in 7 papers)

Quantum nonlinear Schrödinger equation on a lattice

N. M. Bogolyubov, V. E. Korepin

Full-text PDF (648 kB) Citations (7)

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Abstract: A local Hamiltonian is constructed for the nonlinear Schrödinger equation on a lattice in both the classical and the quantum variants. This Hamiltonian is an explicit elementary function of the local Bose fields. The lattice model possesses the same structure of the action–angle variables as the continuous model.

Received: 23.07.1985

English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 3, Pages 300–305
DOI: https://doi.org/10.1007/BF01018229

Bibliographic databases:

Language: Russian

Citation: N. M. Bogolyubov, V. E. Korepin, “Quantum nonlinear Schrödinger equation on a lattice”, TMF, 66:3 (1986), 455–462; Theoret. and Math. Phys., 66:3 (1986), 300–305

Citation in format AMSBIB

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\by N.~M.~Bogolyubov, V.~E.~Korepin

\paper Quantum nonlinear Schr\"odinger equation on a~lattice

\jour TMF

\yr 1986

\vol 66

\issue 3

\pages 455--462

\mathnet{http://mi.mathnet.ru/tmf4641}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=847437}

\transl

\jour Theoret. and Math. Phys.

\yr 1986

\vol 66

\issue 3

\pages 300--305

\crossref{https://doi.org/10.1007/BF01018229}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E586400012}

Linking options:

https://www.mathnet.ru/eng/tmf4641

https://www.mathnet.ru/eng/tmf/v66/i3/p455

This publication is cited in the following 7 articles:

N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz”, Theoret. and Math. Phys., 183:3 (2015), 800–821
Takeshi Oota, “Quantum projectors and local operators in lattice integrable models”, J. Phys. A: Math. Gen., 37:2 (2004), 441
A. GHOSE CHOUDHURY, A. ROY CHOWDHURY, “REDUCTION PROBLEM FOR FOUR WAVE INTERACTION AND THE CLASSICAL r MATRIX”, Int. J. Mod. Phys. A, 14:24 (1999), 3871
N. M. Bogoliubov, R. K. Bullough, G. D. Pang, “Exact solution of aq-boson hopping model”, Phys. Rev. B, 47:17 (1993), 11495
N.M. Bogoliubov, R.K. Bullough, “Completely integrable model of interacting q-bosons”, Physics Letters A, 168:4 (1992), 264
N M Bogoliubov, R K Bullough, “A q-deformed completely integrable Bose gas model”, J. Phys. A: Math. Gen., 25:14 (1992), 4057
N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, “Critical exponents in completely integrable models of quantum statistical physics”, Theoret. and Math. Phys., 70:1 (1987), 94–102

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	471
Full-text PDF :	200
References:	58
First page:	1

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