Dynamic of Scalar Bosons in Aharonov-Bohm Magnetic Field

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  is an Aharonov-Bohm magnetic potential, has a unique ground-state solution.