Article citationsMore>>

Lieb, E.H. and Loss, M. (2001) Analysis. Graduate Studies in Mathematics, Vol. 14. 2nd Edition, American Mathematical Society, Providence.
https://doi.org/10.1090/gsm/014

has been cited by the following article:

• 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.