|
|
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.
 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
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
|
| Number of views: |
| This page: | 43 | | Full text: | 6 | | References: | 7 |
|
Terms of Use