Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas
نویسنده
چکیده
We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body δ-function interaction. We verify this conjecture in first-order perturbation theory near bosons. If the channel width is reduced to zero, the one-dimensional system is fermionic for all anyons other than bosons. PACS numbers: 74.20.Kk, 05.30.-d, 03.65.-w
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