TITLE:
Dynamic of Scalar Bosons in Aharonov-Bohm Magnetic Field
AUTHORS:
Frédéric D. Y. Zongo
KEYWORDS:
Scalar Boson, Aharonov-Bohm Magnetic Field, Schrödinger-Newton Equation, Ground-State Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.1,
January
31,
2024
ABSTRACT: 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 Schrödinger-Newton equation: , where A is an Aharonov-Bohm magnetic potential, has a unique ground-state solution.