Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas

Diptiman Sen

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arXiv · cond-mat/9412013

Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas

Diptiman Sen

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Abstract

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.

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Diptiman Sen. 1994-12-02. Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas. https://arxiv.org/abs/cond-mat/9412013

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