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

Taksu Cheon·T. Shigehara
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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 $δ$-function interaction with the reversed role of strong and weak couplings. KEYWORDS: one-dimensional system, $ε$-interaction, solvable many-body problem, exact bosonization

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Taksu Cheon, T. Shigehara. 1998-08-31. Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction. https://doi.org/10.1103/physrevlett.82.2536

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