Fermion-Boson Duality of One-dimensional Quantum Particles with   Generalized Contact Interaction
  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 
Taksu Cheon (Kochi Tech & KEK, Tsukuba), T. Shigehara (Saitama U)