Statistical Interparticle Potential between Two Anyons

Details Statistical Interparticle Potential between Two Anyons Statistical Interparticle Potential between Two Anyons

2007-01-29

arxiv.org/abs/cond-mat/0701715v2

Physical Review B52 (1995) 15090

Physics

Condensed Matter

Statistical Mechanics

Latex 5 pages, correct typos and figure

Scientific paper

10.1103/PhysRevB.52.15090

The density matrix of a two-anyon system is evaluated and used to investigate the "statistical interparticle potential" following the theory of Uhlenbeck. The main purpose is to see how the statistical potential will depend on the fractional statistical parameter $\alpha$. The result shows that the statistical potential for a two-anyon system with $\alpha\ge {1\over2}$ is always repulsive. For the system with $0<\alpha< {1\over2}$, the potential is repulsive at short distances and becomes attractive at long distances. It remains only in the boson system ($\alpha=0$) that the repulsive potential arising from the exclusion principle can disappear and lead to an attractive potential at all distances.

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