Abstract
The dynamic equations for the energy level of a finite system with impurities are shown to be equivalent to the rational Ruijsenaars-Schneider system. The action, which is simultaneously the generating function of the Bäcklund canonical transformation for this system, is calculated. Various variants of statistical averaging of the energy-level distribution are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. D. Simons and B. L. Altshuler, Phys. Rev. Lett. 70, 4122 (1993).
O. Narayan and B. S. Shastry, Phys. Rev. Lett. 71, 2106 (1993).
P. Pechukas, Phys. Rev. Lett. 51, 943 (1983).
I. L. Aleiner and K. A. Matveev, Phys. Rev. Lett. 80, 814 (1998).
V. G. Marikhin, Pis’ma Zh. Éksp. Teor. Fiz. 64, 57 (1996) [JETP Lett. 64, 62 (1996)].
S. N. M. Ruijsenaars and H. Schneider, Ann. Phys. (N.Y.) 170, 370 (1986).
S. N. M. Ruijsenaars, Commun. Math. Phys. 110, 191 (1987).
H. W. Braden and Ryu Sasaki, Prog. Theor. Phys. 97, 1003 (1997).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 77, No. 1, 2003, pp. 48–50.
Original Russian Text Copyright © 2003 by Marikhin.
Rights and permissions
About this article
Cite this article
Marikhin, V.G. Electron-level dynamics in the presence of impurities and the Ruijsenaars-Schneider model. Jetp Lett. 77, 44–46 (2003). https://doi.org/10.1134/1.1561980
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1561980