Journal article
n-particle quantum statistics on graphs
- Abstract:
-
We develop a full characterization of abelian quantum statistics on graphs. We explain how the number of anyon phases is related to connectivity. For 2-connected graphs the independence of quantum statistics with respect to the number of particles is proven. For non-planar 3-connected graphs we identify bosons and fermions as the only possible statistics, whereas for planar 3-connected graphs we show that one anyon phase exists. Our approach also yields an alternative proof of the structure t...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Communications in Mathematical Physics
- Volume:
- 330
- Issue:
- 3
- Pages:
- 1293-1326
- Publication date:
- 2014-06-06
- Acceptance date:
- 2014-04-09
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
Item Description
Terms of use
- Copyright date:
- 2014
- Notes:
- © The Author(s) 2014. Open Access: This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
- Licence:
- CC Attribution (CC BY)
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