English

Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction

Quantum Physics 2009-02-27 v2 Condensed Matter Exactly Solvable and Integrable Systems Nuclear Theory solv-int

Abstract

For a system of spinless one-dimensional fermions, the non-vanishing short-range limit of two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle system with two-body δ\delta-function interaction with the reversed role of strong and weak couplings. KEYWORDS: one-dimensional system, ϵ\epsilon-interaction, solvable many-body problem, exact bosonization

Keywords

Cite

@article{arxiv.quant-ph/9806041,
  title  = {Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction},
  author = {Taksu Cheon and T. Shigehara},
  journal= {arXiv preprint arXiv:quant-ph/9806041},
  year   = {2009}
}

Comments

4 pages ReVTeX 4 epsf figures included, new Refs