2009/07/14 by B. Basu-Mallick, Tanaya Bhattacharyya
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Constant (computer programming) #Coupling (piping) #Coupling constant #Derivative (finance) #Dirac delta function #Duality (order theory) #Eigenfunction #Eigenvalues and eigenvectors #Fermion #Integrable system #Mathematical physics #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Zero (linguistics) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1142/s0217732310032214
published as Mod.Phys.Lett.A25:715-725,2010 · 11 pages
arxiv created 2009/07/14 · openalex publication_date 2010/03/21 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.