Affine Toda-Sutherland Systems

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dc.creatorKhare, Avinash
dc.creatorLoris, I.
dc.creatorSasaki, R.
dc.date2003-09-08
dc.date.accessioned2026-07-07T10:49:44Z
dc.date.available2026-07-07T10:49:44Z
dc.descriptionA 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 factorisable 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.
dc.descriptionLaTeX2e 22 pages with amsfonts and graphicx, 5 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/0309077
dc.identifierhttp://arxiv.org/abs/hep-th/0309077
dc.identifierJ.Phys.A37:1665-1680,2004
dc.identifierdoi:10.1088/0305-4470/37/5/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184322
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleAffine Toda-Sutherland Systems
dc.typetext

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