Affine Toda-Sutherland systems

Khare, Avinash ; Loris, I. ; Sasaki, R. (2004) Affine Toda-Sutherland systems Journal of Physics A: Mathematical and General, 37 (5). pp. 1665-1679. ISSN 0305-4470

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A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi-exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequencies of small oscillations near equilibrium are proportional to the affine Toda masses, which are essential ingredients of the exact factorizable S-matrices of affine Toda field theories. Some lower lying frequencies are integer times a coupling constant for which the corresponding exact quantum eigenvalues and eigenfunctions are obtained. An affine Toda-Calogero system, with a corresponding rational potential, is also discussed.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:83277
Deposited On:20 Feb 2012 06:29
Last Modified:19 May 2016 00:11

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