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This paper is continuation of our previous papers hep-th/0209246 and hep-th/0304077 . We discuss in more detail a new form of solution to the quantum Knizhnik-Zamolodchikov equation [qKZ] on level -4 obtained in the paper hep-th/0304077 for the Heise
Externí odkaz:
http://arxiv.org/abs/hep-th/0305135
Publikováno v:
J.Phys.A37:323-336,2004
We present a new form of solution to the quantum Knizhnik-Zamolodchikov equation on level -4 in a special case corresponding to the Heisenberg XXX spin chain. Our form is equivalent to the integral representation obtained by Jimbo and Miwa in 1996 .
Externí odkaz:
http://arxiv.org/abs/hep-th/0304077
Autor:
Smirnov, Feodor A.
In this paper we construct separated variables for quantum integrable models related to the algebra $U_q(\hat{sl}_N)$. This generalizes the results by Sklyanin for $N=2,3$.
Comment: 12 pages, Latex, AMS fonts
Comment: 12 pages, Latex, AMS fonts
Externí odkaz:
http://arxiv.org/abs/math-ph/0109013
Autor:
Smirnov, Feodor A.
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck constant exists such that the eigen-functions of its H
Externí odkaz:
http://arxiv.org/abs/math-ph/0001032
Autor:
Smirnov, Feodor A.
We construct the quasi-classical approximation of the form factors in finite volume using the separation of variables. The latter is closely related to the Baxter equation.
Comment: 21 pages, 5 figures, Latex
Comment: 21 pages, 5 figures, Latex
Externí odkaz:
http://arxiv.org/abs/hep-th/9802132
Autor:
Smirnov, Feodor A.
Publikováno v:
Progress in Mathematical Physics
Progress in Mathematical Physics, 2002, 23, pp.455-463
Progress in Mathematical Physics, 2002, 23, pp.455-463
In this paper we construct separated variables for quantum integrable models related to the algebra $U_q(\hat{sl}_N)$. This generalizes the results by Sklyanin for $N=2,3$.
12 pages, Latex, AMS fonts
12 pages, Latex, AMS fonts
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d8a2db9cf6f99fb106d3b5eb8e227f2
https://hal.archives-ouvertes.fr/hal-00119177
https://hal.archives-ouvertes.fr/hal-00119177
Publikováno v:
Symmetries, Integrable Systems & Representations; 2013, p243-261, 19p
Autor:
SMIRNOV, FEODOR A.
Publikováno v:
Integrable Quantum Field Theories & Their Applications - Procs of the Apctp Winter School; 2001, p243-268, 26p
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