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

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

1997-04-10

arxiv.org/abs/quant-ph/9704022v1

Mod.Phys.Lett. B11 (1997) 269-273

Physics

Quantum Physics

latex, 10 pages, to be published in Modern Physics Letters B

Scientific paper

10.1142/S0217984997000335

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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