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Anyons in One Dimension | | Martin Greiter
; | | Date: |
15 Dec 2021 | | Abstract: | I give a non-technical account of fractional statistics in one dimension. In
systems with periodic boundary conditions, the crossing of anyons is always
uni-directional, and the fractional phase $ heta$ acquired by the anyons gives
rise to fractional shifts in the spacings of the relative momenta, ${Delta p
=2pihbar/L, (| heta|/pi+n)}$. The fractional shift $ heta/pi$ is a good
quantum number of interacting anyons, even though the single particle momenta,
and hence the non-negative integers $n$, are generally not. | | Source: | arXiv, 2112.08021 | | Services: | Forum | Review | PDF | Favorites | |
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