Scattering solution of Schrödinger equation with $δ$-potential in deformed space with minimal length

M. I. Samar, V. M. Tkachuk

Published 2021-10-24, updated 2023-11-28Version 2

We consider the Dirac $\delta$-function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. Exact bound and scattering solutions of the problem in quasiposition representation are presented. We obtain that for some resonance energy the incident wave is completely reflected. We conclude that this effect is very sensitive to the choice of the deformation function.