2017/06/16 by Vitor S. Barroso, V. S. Barroso, João Paulo M. Pitelli +1
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Classical mechanics #Cone (formal languages) #Conical surface #Geometry #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum #Quantum mechanics #Scattering #Scattering amplitude #Scattering theory #Topological Materials and Phenomena #Wave function #Wave packet #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.96.025006
6 pages, 2 figures. To appear in Phys Rev D
arxiv created 2017/06/16 · openalex publication_date 2017/07/12 · arxiv updated 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We revisit the scattering of quantum test particles on the conical (2+1)-dimensional spacetime and find the scattering amplitude as a function of the boundary conditions imposed at the apex of the cone. We show that the boundary condition is responsible for a purely analytical term in the scattering amplitude, in addition to those coming from purely topological effects. Since it is possible to have nonequivalent physical evolutions for the wave packet (each one corresponding to a different boundary condition), it seems crucial to have an observable quantity specifying which evolution has been prescribed.