2015/12/07 by Jianwen Jie, Ran Qi · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dipole #Isotropy #Physics #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Scattering #Scattering length #Scattering theory #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1088/0953-4075/49/19/194003
published in Journal of Physics B Atomic Molecular and Optical Physics 49(19), 194003 (IOP Publishing) · 7 pages, 4 figures
arxiv created 2015/12/07 · openalex publication_date 2016/09/22 · arxiv updated 2016/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we provide the two-body exact solutions of the two-dimensional (2D) Schrödinger equation with isotropic ± 1 / r 3 interactions. An analytic quantum defect theory is constructed based on these solutions and it is applied to investigate the scattering properties as well as two-body bound states of an ultracold polar molecules confined in a quasi-2D geometry. Interestingly, we find that for the attractive case, the scattering resonance happens simultaneously in all partial waves, which has not been observed in other systems. The effect of this feature on the scattering phase shift across such resonances is also illustrated.