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Akademický článek
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Publikováno v:
J Stat Phys (2010) 139: 743-768
We derive spin operator matrix elements between general eigenstates of the superintegrable Z_N-symmetric chiral Potts quantum chain of finite length. Our starting point is the extended Onsager algebra recently proposed by R.Baxter. For each pair of s
Externí odkaz:
http://arxiv.org/abs/0912.5027
Publikováno v:
J.Phys.A:Math. Theor. 42 (2009) 304026 (28pp)
Using the Sklyanin-Kharchev-Lebedev method of Separation of Variables adapted to the cyclic Baxter--Bazhanov--Stroganov or $\tau^{(2)}$-model, we derive factorized formulae for general finite-size Ising model spin matrix elements, proving a recent co
Externí odkaz:
http://arxiv.org/abs/0904.2265
Publikováno v:
J. Phys. A: Math. Theor. 41 (2008) 095003 (24pp)
We continue our investigation of the Baxter-Bazhanov-Stroganov or \tau^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive for the first time the factorized formula for form-factors of the I
Externí odkaz:
http://arxiv.org/abs/0711.0457
Publikováno v:
J. Phys. A: Math. Theor. 40 (2007) 14117-14138
We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the aux
Externí odkaz:
http://arxiv.org/abs/0708.4342
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 7257-7282
The Baxter-Bazhanov-Stroganov model (also known as the \tau^(2) model) has attracted much interest because it provides a tool for solving the integrable chiral Z_N-Potts model. It can be formulated as a face spin model or via cyclic L-operators. Usin
Externí odkaz:
http://arxiv.org/abs/nlin/0603028
Publikováno v:
J.Phys. A38 (2005) 7269-7298
We apply a 3-dimensional approach to describe a new parametrization of the L-operators for the 2-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associa
Externí odkaz:
http://arxiv.org/abs/nlin/0505019
Publikováno v:
J.Phys.A37:1159-1179,2004
We report progress in constructing Boltzmann weights for integrable 3-dimensional lattice spin models. We show that a large class of vertex solutions to the modified tetrahedron equation can be conveniently parameterized in terms of N-th roots of the
Externí odkaz:
http://arxiv.org/abs/nlin/0305031
Publikováno v:
Int.J.Mod.Phys. A19S2 (2004) 179-204
A large class of 3-dimensional integrable lattice spin models is constructed. The starting point is an invertible canonical mapping operator in the space of a triple Weyl algebra. This operator is derived postulating a current branching principle tog
Externí odkaz:
http://arxiv.org/abs/nlin/0303043