%0 Journal Article
%T Dynamic of Scalar Bosons in Aharonov-Bohm Magnetic Field
%A Fr¨¦d¨¦ric D. Y. Zongo
%J Journal of Applied Mathematics and Physics
%P 268-276
%@ 2327-4379
%D 2024
%I Scientific Research Publishing
%R 10.4236/jamp.2024.121021
%X We study the dynamic of scalar bosons in the presence of Aharonov-Bohm magnetic field. First, we give the differential equation that governs this dynamic. Secondly, we use variational techniques to show that the following Schr&amp;#246;dinger-Newton equation: <img src=\"Edit_df31241d-78d0-49b9-bc57-d87889072d20.bmp\" alt=\"\" />, where <em>A </em>is an Aharonov-Bohm magnetic potential, has a unique ground-state solution.
%K Scalar Boson
%K Aharonov-Bohm Magnetic Field
%K Schr&#246
%K dinger-Newton Equation
%K Ground-State Solution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=130896