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Research PapersNo Access

FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL

B. BASU-MALLICK

Theory Group, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700 064, India

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and

TANAYA BHATTACHARYYA

Department of Physics, Syamaprasad College, 5/B, R. Das Gupta Road, Kolkata 700 026, India

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https://doi.org/10.1142/S0217732310032214Cited by:0 (Source: Crossref)

Abstract

We investigate the boson–fermion duality relation for the case of quantum integrable derivative δ-function Bose gas. In particular, we find a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative δ-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the center-of-mass momentum of the corresponding eigenfunction.

Keywords:

PACS: 03.65.-w, 03.65.Db, 02.30.Ik

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Vol. 25, No. 09

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History

Received 21 August 2009

Keywords