MIRROR SYMMETRY IN THE FEW ANYON SPECTRA IN A HARMONIC OSCILLATOR POTENTIAL

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Revtex, 9 pages

Scientific paper

We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point $\theta=\pi/2$) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the $\ell=0$ sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry.

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