A Coherent State Path Integral for Anyons

J. Grundberg; T. H. Hansson

doi:10.1142/S0217732395001083

A Coherent State Path Integral for Anyons

高能物理 - 理论 2015-06-26 v1

作者: J. Grundberg , T. H. Hansson

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摘要

We derive an $su(1,1)$ coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential. By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy. The shift is the same as the one obtained for anyons by other methods. We justify the procedure by showing that the change of variables corresponds to a $su(1,1)$ version of the Holstein-Primakoff transformation.

关键词

coherent states harmonic oscillator in quantum mechanics

引用

@article{arxiv.hep-th/9409194,
  title  = {A Coherent State Path Integral for Anyons},
  author = {J. Grundberg and T. H. Hansson},
  journal= {arXiv preprint arXiv:hep-th/9409194},
  year   = {2015}
}

备注

Latex 6 pages, USITP-94-13

A Coherent State Path Integral for Anyons

摘要

关键词

引用

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