2004/06/04 by K. Kanjilal, Krittika Kanjilal, D. Blume · 8 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #physics.atom-ph
paper · pdf · doi:10.1103/physreva.70.042709
9 pages, 4 figures (subm. to PRA on 03/15/2004)
arxiv created 2004/06/04 · arxiv updated 2009/12/01
Atom-atom scattering of bosonic one-dimensional (1D) atoms has been modeled successfully using a zero-range delta-function potential, while that of bosonic 3D atoms has been modeled successfully using Fermi-Huang's regularized s-wave pseudo-potential. Here, we derive the eigenenergies of two spin-polarized 1D fermions under external harmonic confinement interacting through a zero-range potential, which only acts on odd-parity wave functions, analytically. We also present a divergent-free zero-range potential treatment of two spin-polarized 3D fermions under harmonic confinement. Our pseudo-potential treatments are verified through numerical calculations for short-range model potentials.