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Zamolodchikov - Faddeev algebra in two-component anyons

Yue-lin Shen and Mo-lin Ge

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We investigate Wilczeck's mutual fractional statistical model at the field-theoretical level. The effective Hamiltonian for the particles is derived by the canonical procedure, whereas the commutators of the anyonic excitations are proved to obey the Zamolodchikov - Faddeev algebra. Cases leading to well known statistics as well as Laughlin's wavefunction are discussed.


PACS

05.30.Pr Fractional statistics systems (anyons, etc.)

02.10.-v Logic, set theory, and algebra

03.65.-w Quantum mechanics

MSC

81S05 Commutation relations and statistics

81Rxx Groups and algebras in quantum theory

Subjects

Quantum gases, liquids and solids

Mathematical physics

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 18 (21 September 1996)

Received 4 December 1995, in final form 23 April 1996



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