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

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

1999-11-26

arxiv.org/abs/solv-int/9912001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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.

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