2004/12/27 by Stefano Bellucci, Armen Yeranyan · 2 citations
Mathematics · Physics and Astronomy · #Azimuth #Black Holes and Theoretical Physics #Commutative property #Field (mathematics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Optics #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum differential calculus #Quantum mechanics #Scattering #Scattering cross-section #Section (typography) #Wave function #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.01.058
published as Phys.Lett.B609:418-423,2005 · 7 pages, PACS numbers: 02.40.Gh, 11.10.Nx, 13.85.Dz
arxiv created 2004/12/27 · openalex publication_date 2005/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper the problem of noncommutative elastic scattering in a central field is considered. General formulas for the differential cross-section for two cases are obtained. For the case of high energy of an incident wave it is shown that the differential cross-section coincides with that on the commutative space. For the case in which noncommutativity yields only a small correction to the central potential it is shown that the noncommutativity leads to the redistribution of particles along the azimuthal angle, although the whole cross-section coincides with the commutative case.