Search

Integrable inhomogeneous versions of the models like NLS, Toda chain, Ablowitz-Ladik model etc., though well known at the classical level, have never been investigated for their possible quantum extensions. We propose a unifying scheme for constructing and solving such quantum integrable inhomogeneous models including a novel inhomogeneous sine-Gordon model, which avoids the difficulty related to the customary non-isospectral flow by introducing the inhomogeneities through some central elements of the underlying algebra., 12 pages, no figure, latex. Two new chapters on general inhom. trigonometric models and inhom. SG model included. Accepted in Phys.Lett.B

A challenge in the theory of integrable systems is to show for every nonultralocal quantum integrable model, a possible connection to an ultralocal model. Some of such gauge connections were discovered earlier. We complete the task by identifying the same for the remaining ones along with two new models. We also unveil the underlying algebraic structure for these nonultralocal models., Comment: Latex, 10 pages, no figure, final version (with more technical details) to be published in Phys. Lett. B

A relativistic quantum field model, recently solved exactly [Y.K. Zhou, Phys. Lett. B 276 (1992) 135], is shown to have an underlying quantum group structure. The baxterisation of the FRT algebra enables us to construct through q-oscillators an exact lattice regularised version of the model. Moreover this model is found to be hybridisation of a new quantum integrable bosonic model.

Properties of SU(2) and SU(2)/U(1) solitons are investigated in the Skyrme model. The skyrmion with higher topological charges is shown to exhibit shell-like structures along with its curious charge-energy relationship. It is also shown that some proposed toroidal solitons are not admitted by the model, which however allows an open-vortex type solution and its large-torus approximation.