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Quantum oscillator as 1D anyon
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quant-phcond-mat.stat-mechhep-thmath-phmath.MP
keywords
oscillatorquantumanyoncalogero-sutherlandchargedcoulombdescribeddimension
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It is shown that in one spatial dimension the quantum oscillator is dual to the charged particle situated in the field described by the superposition of Coulomb and Calogero-Sutherland potentials.
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