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


Zap. Nauchn. Sem. POMI, 2018, Volume 473, Pages 66–76 (Mi znsl6654)  

The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition

N. Bogoliubov, C. Malyshev

St. Petersburg Department of Steklov Institute of Mathematics, RAS Fontanka 27, St. Petersburg, Russia

Abstract: The $XY$ Heisenberg spin$\frac12$ chain is considered in the fermion representation. The construction of the ground state-vector is based on the group-theoretical approach. The exact expression for the ground state-vector will allow to study the combinatorics of the correlation functions of the model.

Key words and phrases: $XY$ Heisenberg spin chain, ground state-vector, Gauss decomposition.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00296_а
The work was partially supported by the RFBR project (16-01-00296).


Full text: PDF file (167 kB)
References: PDF file   HTML file

English version:
Journal of Mathematical Sciences (New York), 2019, 242:5, 628–635

UDC: 517.9
Received: 15.11.2018
Language:

Citation: N. Bogoliubov, C. Malyshev, “The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 66–76; J. Math. Sci. (N. Y.), 242:5 (2019), 628–635

Citation in format AMSBIB
\Bibitem{BogMal18}
\by N.~Bogoliubov, C.~Malyshev
\paper The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 66--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6654}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 628--635
\crossref{https://doi.org/10.1007/s10958-019-04501-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074211453}


Linking options:
  • http://mi.mathnet.ru/eng/znsl6654
  • http://mi.mathnet.ru/eng/znsl/v473/p66

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Записки научных семинаров ПОМИ
    Number of views:
    This page:43
    Full text:6
    References:7

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021