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Melgaard, M., Ouhabaz, E.-M. and Rozenblum, G. (2004) Negative Discrete Spectrum of Perturbed Multivortex Aharonov-Bohm Hamiltonians. Annales Henri Poincaré, 5, 979-1012.
https://doi.org/10.1007/s00023-004-0187-3

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.