On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic Field

Abstract

We study two anyons with Coulomb interaction in a uniform magnetic field $B$. By using the torus quantization we obtain the modified Landau and Zeeman formulas for the two anyons. Then we derive a simple algebraic equation for the full spectral problem up to the second order in $B$.

arXiv commentlatex, 10 pages, to be published in Modern Physics Letters B

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