Quantum scattering from anisotropic potentials: From quantum dots to ultracold molecules
Recent exciting experiments show interesting quantum phenomena exhibited by interacting systems with anisotropic geometry such as molecules at ultracold temperatures in the order of μK and ring-shaped quantum dots. It is, therefore, of interest to look at quantum theoretical models that naturally incorporate anisotropic potentials for which closed form solutions could be obtained. These should then be a good springboard for the study of nontrivially shaped molecular systems colliding or interacting at different initial orientations. We thus review our earlier theoretical results for quantum scattering from classes of noncentral potentials obtained via the Feynman path integral approach, and via the differential approach for Wigner generalized angular momentum harmonics, and see how we could connect these to the needed theoretical framework for quantum phenomena recently observed in newly achieved quantum experimental conditions.