English

Quantum oscillator as 1D anyon

Quantum Physics 2015-06-26 v6 Statistical Mechanics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0002069,
  title  = {Quantum oscillator as 1D anyon},
  author = {Ye. Hakobyan and V. Ter-Antonyan},
  journal= {arXiv preprint arXiv:quant-ph/0002069},
  year   = {2015}
}

Comments

9 pages, LaTex