Construction of variable mass sine-Gordon and other novel inhomogeneous quantum integrable models

Abstract

The inhomogeneity of the media or the external forces usually destroy the integrability of a system. We propose a systematic construction of a class of quantum models, which retains their exact integrability inspite of their explicit inhomogeneity. Such models include variable mass sine-Gordon model, cylindrical NLS, spin chains with impurity, inhomogeneous Toda chain, the Ablowitz-Ladik model etc.

arXiv commentLatex, 6 pages, no figure; to be published in J. Nonlinear Math. Phys. as Proc. NEEDS'99 (Crete, Greece, June, 1999)