INVESTIGATION OF EXCITATION SPECTRA OF EXACTLY SOLVABLE MODELS USING INVERSION RELATIONS
1990 ◽
Vol 04
(05)
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pp. 871-893
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Keyword(s):
Set Up
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We study the excitations of two-dimensional classical vertex models and related one-dimensional quantum Hamiltonians. The main mathematical means we use are functional equations which are set up and solved for the excitation functions. The method is first applied to the eight-vertex model as a prototype and compared with the traditional solution procedure of the Bethe Ansatz. In the last part we investigate some q-state models, notably the biquadratic spin-1 quantum antiferromagnet and its generalizations, which recently attracted interest due to Haldane’s conjecture.
1994 ◽
Vol 09
(16)
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pp. 1501-1505
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1998 ◽
Vol 238
(4-5)
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pp. 213-218
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2004 ◽
Vol 243
(1-6)
◽
pp. 131-143
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Keyword(s):
2009 ◽
Vol 11
(9)
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pp. 093027
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