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

Preprint

12 June 1998

preprint
Published by arXiv in arXiv

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 $\delta$-function interaction with the reversed role of strong and weak couplings. KEYWORDS: one-dimensional system, $\epsilon$-interaction, solvable many-body problem, exact bosonization

Keywords

DIMENSIONAL QUANTUM
CONTACT INTERACTION
QUANTUM PARTICLES
BOSON DUALITY
FERMION BOSON
TWO BODY
FERMIONS
KEYWORDS
BOSONIC

All Related Versions

Version 1, 1998-06-12, ArXiv
Version 2, 1998-08-31, ArXiv
Published version: Physical Review Letters, 82 (12), 2536.

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