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Phys. Rev. Lett. 82, 2536–2539 (1999)

Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions

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Taksu Cheon1,2 and T. Shigehara3
1Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502, Japan
2Theory Division, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
3Department of Information and Computer Sciences, Saitama University, Urawa, Saitama 338-8570, Japan

Received 12 June 1998; published in the issue dated 22 March 1999

For a system of spinless one-dimensional fermions, the nonvanishing short-range limit of a 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 a two-body δ-function interaction with the reversed role of strong and weak couplings.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.2536
DOI:
10.1103/PhysRevLett.82.2536
PACS:
71.10.Pm, 03.65.-w, 05.30.Fk