Dynamic of Scalar Bosons in Aharonov-Bohm Magnetic Field  

作　　者：Frédéric D. Y. Zongo Frédéric D. Y. Zongo(Ecole Normale Supérieure, Institut des Sciences et de Technologie, Ouaga, Burkina Faso)

机构地区：[1]Ecole Normale Supérieure, Institut des Sciences et de Technologie, Ouaga, Burkina Faso

出　　处：《Journal of Applied Mathematics and Physics》2024年第1期268-276,共9页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Scalar Boson Aharonov-Bohm Magnetic Field Schrödinger-Newton Equation Ground-State Solution 

分 类 号：O17[理学—数学]