Physics Colloquium: Scattering phenomenon on Curved Surface and effects of Defects

Physics Colloquium: Scattering phenomenon on Curved Surface and effects of Defects

The scattering of non-relativistic spinless particles moving on a curved surface and interacting with defects is studied. The effect of moving on the curved surface is described by an effective geometric potential using the thin layer quantization which only depends on intrinsic property of curved surface, mean and Gaussian curvatures. The effective Hamiltonian on the curved surface is approximated by using asymptotically flat approach in which geometric potential is treated as perturbation of the finite multi delta functions. In general, the presence of the delta-function defects enhances the differential cross-section or scattering amplitude in the scattering process, and hence, geometric scattering effects compared to a case without defects.