On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic Field
classification
🪐 quant-ph
chao-dyncond-mathep-thnlin.CD
keywords
anyonscoulombfieldinteractionmagneticquantizationtorusalgebraic
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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 $B$.
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