Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-25
Mod.Phys.Lett. A18 (2003) 927-936
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, misprints corrected and references added
Scientific paper
10.1142/S0217732303009964
The second virial coefficient $B_{2}^{nc}(T)$ for non-interacting particles moving in a two-dimensional noncommutative space and in the presence of a uniform magnetic field $\vec B$ is presented. The noncommutativity parameter $\te$ can be chosen such that the $B_{2}^{nc}(T)$ can be interpreted as the second virial coefficient for anyons of statistics $\al$ in the presence of $\vec B$ and living on the commuting plane. In particular in the high temperature limit $\be\lga 0$, we establish a relation between the parameter $\te$ and the statistics $\al$. Moreover, $B_{2}^{nc}(T)$ can also be interpreted in terms of composite fermions.
Geyer Hendrik B.
Jellal Ahmed
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