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arXiv · hep-th/0703263

Scattering problem in deformed space with minimal length

M. M. Stetsko·V. M. Tkachuk
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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.

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M. M. Stetsko, V. M. Tkachuk. 2007-03-28. Scattering problem in deformed space with minimal length. https://doi.org/10.1103/physreva.76.012707

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