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Corpus ID: 119424114

Completeness of Bethe's states for generalized $XXZ$ model, II

@inproceedings{NKirillov1996CompletenessOB,
title={Completeness of Bethe's states for generalized \$XXZ\$ model, II},
author={Anatol N.Kirillov and Nadejda A.Liskova},
year={1996}
}

For any rational number $p_0\ge 2$ we prove an identity of Rogers-Ramanujan's type. Bijection between the space od states for $XXZ$ model and that of $XXX$ model is constructed

For any rational number p0 ≥ 1 we prove an identity of Rogers–Ramanujan– Gordon–Andrews’ type. Bijection between the space of states for XXZ model and that of XXX model is constructed.

We study the Bethe ansatz equations for a generalized XXZ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a… Expand

Baxter❳ Q-operator 楳 genera汬y be汩eved to be the most powerful t ool for the exact d楡gona汩zat楯n of 楮tegrab汥 mode汳. Cur楯us汹, 楴 has h楴herto not yet bee n proper汹 constructed 楮 the s業p汥st such system,… Expand

We consider the physical combinatorics of critical lattice models and their
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examples, we consider A-type unitary minimal… Expand

This thesis concerns the completeness of scattering states of n δ-interacting particles in one dimension. Only the repulsive case is treated, where there are no bound states and the spectrum is… Expand

Baxter’s Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest… Expand