AQ-operator for the quantum transfer matrix
نویسندگان
چکیده
منابع مشابه
A Q-operator for the quantum transfer matrix
Baxter’s Q-operator for the quantum transfer matrix of the XXZ spin-chain is constructed employing the representation theory of quantum groups. The spectrum of this Q-operator is discussed and novel functional relations which describe the finite temperature regime of the XXZ spin-chain are derived. For non-vanishing magnetic field the previously known Bethe ansatz equations can be replaced by a...
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with the norm ‖f‖Aq = ‖f‖L1 +‖f̂‖lq . Then Aq(G) is a commutative semisimple Banach algebra with maximal ideal space Γ , in which the set of trigonometric polynomials is dense [4]. The Ap-spaces have been studied in [1, 6]. If G is, in addition, a connected group, then its dual can be ordered; there exists a semigroup P ⊂ Γ such that P∩−P = {0}, P∪−P = Γ (see [5]), and we say that γ ∈ Γ is posit...
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In the field of molecule-based magnetism materials composed of magnetically isolated chains have become the main research trend in last years. The quantum transfer matrix (QTM) method based on a checkerboard structure has been applied to the one-dimensional Heisenberg model with Dzyaloshinskii-Moriya interaction in the S = 1/2 spin chain. This model with the transverse staggered magnetic field ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/14/002