Scattering in Noncommutative Quantum Mechanics

Abstract

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 $\theta \to 0$.

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

References in corpus (1)

• A Noncommutative Deformation of General Relativity

Cited by in corpus (5)

• A comparative review of four formulations of noncommutative quantum mechanics
• Scattering problem in deformed space with minimal length
• Photon Neutrino Scattering in Non-Commutative Space
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• Bound state energies and phase shifts of a non-commutative well