Scattering theory of discrete (pseudo) Laplacians on a Weyl chamber

dc.creatorVan Diejen, J.F.
dc.date2005-10-07T15:32:34Z
dc.date2005-10-07T15:32:34Z
dc.date2005-04
dc.date.accessioned2017-03-07T14:32:31Z
dc.date.available2017-03-07T14:32:31Z
dc.identifierAmerican Journal of Mathematics 127 (2): 421-458
dc.identifier0002-9327
dc.identifierhttp://dspace.utalca.cl/handle/1950/1560
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/368890
dc.descriptionVan Diejen, J.F. (reprint author). Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.
dc.descriptionTo a crystallographic root system we associate a system of multivariate orthogonal polynomials diagonalizing an integrable system of discrete pseudo Laplacians on the Weyl chamber. We develop the time-dependent scattering theory for these discrete pseudo Laplacians and determine the corresponding wave operators and scattering operators in closed form. As an application, we describe the scattering behavior of certain hyperbolic Ruijsenaars-Schneider type lattice Calogero-Moser models associated with the Macdonald polynomials.
dc.format5331 bytes
dc.formatimage/jpeg
dc.languageen
dc.publisherJohns Hopkins University Press, Journals Publishing Division
dc.subjectintegrable systems
dc.subjectorthogonal polynomials
dc.subjectMacdonald polynomials
dc.subjectroot systems
dc.subjectQ-Jacobi
dc.subjectconjectures
dc.subjectalgebras
dc.titleScattering theory of discrete (pseudo) Laplacians on a Weyl chamber
dc.typeArtículos de revistas


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