Second Virial Coefficient for Noncommutative Space

Abstract

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.

11 pages, misprints corrected and references added

References in corpus (3)

• Hall Effect in Noncommutative Coordinates
• Orbital Magnetism of Two-Dimension Noncommutative Confined System
• Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis