Fermionic dual of one-dimensional bosonic particles with derivative delta function potential

Abstract

We investigate the boson-fermion duality relation for the case of quantum integrable derivative $\delta$-function bose gas. In particular, we find out a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative $\delta$-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 centre-of-mass momentum of the corresponding eigenfunction.

11 pages

References in corpus (2)

• Fermi-Bose mapping for one-dimensional Bose gases
• Quantum bound states for a derivative nonlinear Schrodinger model and number theory