|
This article is cited in 3 scientific papers (total in 3 papers)
Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles
A. V. Zabrodinabc, A. V. Zotovade, A. N. Liashykbcf, D. S. Rudnevabg a Institute for Theoretical and Experimental Physics, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
c Skolkovo Institute of Science and Technology, Russia
d Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
e Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
f Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine
g University of California, Santa Barbara, United States of America
Abstract:
We discuss the correspondence between models solved by the Bethe ansatz and classical integrable systems of the Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric six-vertex model parameterized by trigonometric (hyperbolic) functions.
Keywords:
six-vertex model, Ruijsenaars–Schneider system of particles, quantum–classical correspondence.
Received: 08.11.2016 Revised: 27.11.2016
Citation:
A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, “Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles”, TMF, 192:2 (2017), 235–249; Theoret. and Math. Phys., 192:2 (2017), 1141–1153
Linking options:
https://www.mathnet.ru/eng/tmf9300https://doi.org/10.4213/tmf9300 https://www.mathnet.ru/eng/tmf/v192/i2/p235
|
Statistics & downloads: |
Abstract page: | 1658 | Full-text PDF : | 107 | References: | 49 | First page: | 16 |
|