Scattering in Noncommutative Quantum Mechanics

Details Scattering in Noncommutative Quantum Mechanics Scattering in Noncommutative Quantum Mechanics

2004-12-24

arxiv.org/abs/hep-th/0412292v1

Mod.Phys.Lett.A20:1013-1020,2005

Physics

High Energy Physics

High Energy Physics - Theory

7 Pages, no figure, accepted for publication in Modern Physics Letters A

Scientific paper

10.1142/S021773230501697X

We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method it is shown that the conservation of the number of particles in elastic scattering is also valid in noncommutative spaces which means that the unitarity relation is held in noncommutative spaces. We also show that the noncommutativity of space has no effect on the optical theorem. Finally we study Gaussian function potential in noncommutative spaces which generates delta function potential as $\theta \to 0$.

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