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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 178–186
(Mi znsl80)
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This article is cited in 2 scientific papers (total in 3 papers)
Algebraic Bethe ansatz for seven-vertex model
P. P. Kulish, P. D. Ryasichenko St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The work is dedicated to the construction of algebraic Bethe ansatz for
seven-vertex model. $R$-matrix of the system is obtained by means of twist
from six-vertex model consider by us earlier. The presence of seven
nonzero element in $R$-matrix complicates the situation. In particular
the commutation relations of elements of monodromy matrix becomes more
difficult in comparison with the six-vertex model. But we construct
algebraic Bethe ansatz by help of introducing of new operator that is the
difference between two operators on the main diagonal of monodromy
matrix. The eigenstates and the spectrum of the system were found. This
is the first step on the way of comparison of the systems with six- and
seven-vertex $R$-matrix respectively.
Received: 19.10.2007
Citation:
P. P. Kulish, P. D. Ryasichenko, “Algebraic Bethe ansatz for seven-vertex model”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 178–186; J. Math. Sci. (N. Y.), 151:2 (2008), 2901–2906
Linking options:
https://www.mathnet.ru/eng/znsl80 https://www.mathnet.ru/eng/znsl/v347/p178
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Abstract page: | 381 | Full-text PDF : | 140 | References: | 66 |
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