The Second Virial Coefficient of Spin-1/2 Interacting Anyon System

Abstract

Evaluating the propagator by the usual time-sliced manner, we use it to compute the second virial coefficient of an anyon gas interacting through the repulsive potential of the form $g/r^2(g>0)$. All the cusps for the unpolarized spin-1/2 as well as spinless cases disappear in the $\omega \to 0$ limit, where $\omega$ is a frequency of harmonic oscillator which is introduced as a regularization method. As $g$ approaches to zero, the result reduces to the noninteracting hard-core limit.

9 pages, 2 figs included

References in corpus (1)

• Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem