Scattering problem in deformed space with minimal length

Details Scattering problem in deformed space with minimal length Scattering problem in deformed space with minimal length

2007-03-28

arxiv.org/abs/hep-th/0703263v1

Phys.Rev.A76:012707,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure

Scientific paper

10.1103/PhysRevA.76.012707

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.

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