Dynamics of quantum hyperbolic Ruijsenaars-Schneider particles via diagonalization of analytic difference operators

We present a new generalised eigenfunction of the reduced two-particle, mixed-charge, hyperbolic Ruijsenaars-Schneider (or, relativistic A_1-Calogero-Moser) Hamiltonian. The asymptotics of this function displays transmission and reflection in a way that generalizes the familiar non-relativistic pict...

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Bibliographic Details
Main Author: Haworth, Steven William
Other Authors: Ruijsenaars, Simon
Published: University of Leeds 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.707062