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Quantum oscillator as 1D anyon

Ye. Hakobyan, V. Ter-Antonyan

Published 2000-02-24, updated 2000-03-29Version 6

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.

Comments: 9 pages, LaTex
Journal: Phys.Atom.Nucl. 68 (2005) 1709-1712; Yad.Fiz. 68 (2005) 1772-1775
Subjects: 05.30.Pr
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