Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
نویسنده
چکیده
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 Schrödinger 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 δ and derivative δ-function potentials.
منابع مشابه
/ 94 08 05 6 v 1 9 A ug 1 99 4 DAMTP / 94 - 64 NIKHEF - H 94 - 25 Anyonic FRT construction 1
The Faddeev-Reshetikhin-Takhtajan method to construct matrix bialgebras from non-singular solutions of the quantum Yang-Baxter equation is extended to the anyonic or Z Z n-graded case. The resulting anyonic quantum matrices are braided groups in which the braiding is given by a phase factor.
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