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

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

2009-07-14

arxiv.org/abs/0907.2358v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

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.

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