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.
Citation:
V. G. Marikhin, “Electron-level dynamics in the presence of impurities and the Ruijsenaars-Schneider model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 77:1 (2003), 48–50; JETP Letters, 77:1 (2003), 44–46