%0 Journal Article %T Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation %A Anjan Kundu %J Symmetry, Integrability and Geometry : Methods and Applications %D 2010 %I National Academy of Science of Ukraine %X Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schr dinger equation (NLS) and the derivative NLS quantum field models involving anyonic operators, N-particle sectors of which yield the well known anyon gases, interacting through ¦Ä and derivative ¦Ä-function potentials. %K nonultralocal model %K braided YBE %K quantum integrability %K 1D anyonic and q-anyonic lattice models %K anyonic NLS and derivative NLS field models %K algebraic Bethe ansatz %U http://dx.doi.org/10.3842/SIGMA.2010.080