Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined \`a la Schwinger to construct the generators of the quantum group SU(2)q with q=exp(iπν), where ν is the anyonic statistical parameter.
Anyons and quantum groups
LERDA, Alberto;
1993-01-01
Abstract
Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined \`a la Schwinger to construct the generators of the quantum group SU(2)q with q=exp(iπν), where ν is the anyonic statistical parameter.File in questo prodotto:
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