Fermion-Boson duality of one-dimensional quantum particles with generalized contact interactions

Citation
T. Cheon et T. Shigehara, Fermion-Boson duality of one-dimensional quantum particles with generalized contact interactions, PHYS REV L, 82(12), 1999, pp. 2536-2539
Citations number
24
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
82
Issue
12
Year of publication
1999
Pages
2536 - 2539
Database
ISI
SICI code
0031-9007(19990322)82:12<2536:FDOOQP>2.0.ZU;2-2
Abstract
For a system of spinless one-dimensional fermions, the nonvanishing short-r ange limit of a two-body interaction is shown to induce the wave-function d iscontinuity. We prove the equivalence of this fermionic system and the bos onic particle system with a two-body delta-function interaction with the re versed role of strong and weak couplings. [S0031-9007(99)08775-X].