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This article is cited in 4 scientific papers (total in 4 papers)
Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
Anjan Kundu Theory Group \& CAMCS, Saha Institute of Nuclear Physics, Calcutta, India
Abstract:
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 $\delta$ and derivative $\delta$-function potentials.
Keywords:
nonultralocal model; braided YBE; quantum integrability; 1D anyonic and $q$-anyonic lattice models; anyonic NLS and derivative NLS field models; algebraic Bethe ansatz.
Received: May 25, 2010; in final form October 3, 2010; Published online October 9, 2010
Citation:
Anjan Kundu, “Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation”, SIGMA, 6 (2010), 080, 9 pp.
Linking options:
https://www.mathnet.ru/eng/sigma538 https://www.mathnet.ru/eng/sigma/v6/p80
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