FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL-Reference-Cited by-同舟云学术

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

Published:2010-03-21 Issue:09 Volume:25 Page:715-725
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BASU-MALLICK B.¹,BHATTACHARYYA TANAYA²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732310032214

Reference26 articles.

1. Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension

2. Permutation Symmetry of Many-Particle Wave Functions

3. Fermi-Bose mapping for one-dimensional Bose gases

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

5. Nonperturbative studies of a quantum higher-order nonlinear Schrödinger model using the Bethe ansatz