Scattering problem in deformed space with minimal length
arXiv:hep-th/0703263 · doi:10.1103/PhysRevA.76.012707
Abstract
We investigated the elastic scattering problem with deformed Heisenberg algebra leading to the existence of a minimal length. The continuity equations for the moving particle in deformed space were constructed. We obtained the Green's function for a free particle, scattering amplitude and cross-section in deformed space. We also calculated the scattering amplitudes and differential cross-sections for the Yukawa and the Coulomb potentials in the Born approximation.
9 pages, 1 figure
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