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Generic example of algebraic bosonisation

Quantum Physics 2020-03-05 v1 Strongly Correlated Electrons

Abstract

Two identical non-interacting fermions in a three-dimensional harmonic oscillator well are bosonised exactly according to a recently developed general algebraic scheme. Rotational invariance is taken into account within the scheme for the first time. The example is generic for the excitation spectra of finite systems, in particular for the appearance of bands in spectra. A connection to the formalism of the fractional quantum Hall effect is pointed out.

Keywords

Cite

@article{arxiv.2003.02259,
  title  = {Generic example of algebraic bosonisation},
  author = {Katarina Rožman and D. K. Sunko},
  journal= {arXiv preprint arXiv:2003.02259},
  year   = {2020}
}

Comments

Author's original as published by EPJ Plus, six pages, one table

R2 v1 2026-06-23T14:04:08.415Z