TY - JOUR

T1 - Second virial coefficient of anyons without hard core

AU - Kim, Chanju

PY - 1998/7/16

Y1 - 1998/7/16

N2 - We calculate the second virial coefficient of anyons whose wave function does not vanish at coincidence points. This kind of anyons appear naturally when one generalizes the hard-core boundary condition according to self-adjoint extension method in quantum mechanics, and also when anyons are treated field theoretically by applying renormalization procedure to nonrelativistic Chern-Simons field theory. For the anyons which do not satisfy hard-core boundary condition, it is argued that the other scale-invariant limit is more relevant in high-temperature limit where virial expansion is useful. Furthermore, the cusp existing at the bosonic point for hard-core anyons disappears in general; instead it is shown that a new cusp is generated at the fermionic point. A physical explanation is given.

AB - We calculate the second virial coefficient of anyons whose wave function does not vanish at coincidence points. This kind of anyons appear naturally when one generalizes the hard-core boundary condition according to self-adjoint extension method in quantum mechanics, and also when anyons are treated field theoretically by applying renormalization procedure to nonrelativistic Chern-Simons field theory. For the anyons which do not satisfy hard-core boundary condition, it is argued that the other scale-invariant limit is more relevant in high-temperature limit where virial expansion is useful. Furthermore, the cusp existing at the bosonic point for hard-core anyons disappears in general; instead it is shown that a new cusp is generated at the fermionic point. A physical explanation is given.

UR - http://www.scopus.com/inward/record.url?scp=0346342294&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(98)00590-5

DO - 10.1016/S0370-2693(98)00590-5

M3 - Article

AN - SCOPUS:0346342294

SN - 0370-2693

VL - 431

SP - 374

EP - 379

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -