Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 2, Pages 208–217 (Mi tmf4932)  

On the irreducible part of the current correlation function in quantum completely integrable models

A. V. Zabrodin
References:
Abstract: A method for finding irreducible parts of currents correlation function in completely integrable quantum models with the $R$-matrix of the XXX-type is suggested. Explicit formulas for the Fouries coefficients of the irreducible part $A_n^k$ are obtained for $n=4,5$ and some general properties of this coefficients for arbitrary $n$ are pointed out. It is found that in the quantum nonlinear Schrödinger equation (in the repulsion case at finite density) the expansion of the currents correlator in the power series in the inverse large coupling constant agrees (at least up to the second order) with the hypothesis about the power law of the decreasing of the amplitude of correlator oscillations at large distances.
Received: 26.11.1985
English version:
Theoretical and Mathematical Physics, 1987, Volume 71, Issue 2, Pages 485–491
DOI: https://doi.org/10.1007/BF01028647
Bibliographic databases:
Language: Russian
Citation: A. V. Zabrodin, “On the irreducible part of the current correlation function in quantum completely integrable models”, TMF, 71:2 (1987), 208–217; Theoret. and Math. Phys., 71:2 (1987), 485–491
Citation in format AMSBIB
\Bibitem{Zab87}
\by A.~V.~Zabrodin
\paper On the irreducible part of the current correlation function in quantum completely integrable models
\jour TMF
\yr 1987
\vol 71
\issue 2
\pages 208--217
\mathnet{http://mi.mathnet.ru/tmf4932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=911668}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 71
\issue 2
\pages 485--491
\crossref{https://doi.org/10.1007/BF01028647}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987L510600004}
Linking options:
  • https://www.mathnet.ru/eng/tmf4932
  • https://www.mathnet.ru/eng/tmf/v71/i2/p208
  • 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024