Analytic wave functions for understanding the spectrum of the three-anyon problem. Academic Article uri icon


  • We show that the low-lying spectrum of three noninteracting anyons in a harmonic potential can be qualitatively and quantitatively understood on the basis of a simple set of analytic wave functions. These wave functions are exact in both the boson and fermion limits and satisfy the anyone wave-function phase condition at all intermediate values of the statistical parameter 0<<1. The resulting nonlinear spectrum agrees with those of exact numerical calculations to better than a few parts in a thousand. 1992 The American Physical Society.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Chin, S. A., & Hu, C.

citation count

  • 13

complete list of authors

  • Chin, SA||Hu, C

publication date

  • July 1992