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.
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
\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:
https://www.mathnet.ru/eng/znsl6654
https://www.mathnet.ru/eng/znsl/v473/p66
This publication is cited in the following 1 articles:
C Malyshev, N M Bogoliubov, “Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions”, J. Phys. A: Math. Theor., 55:22 (2022), 225002
Citation in format AMSBIB
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