On the well-posedness of the semi-relativistic Schrodinger-Poisson system
Walid Abou Salem, Thomas Chen, Vitali Vougalter
TL;DR
This paper proves the global existence and uniqueness of strong solutions for the semi-relativistic Schrödinger-Poisson system with repulsive Coulomb interactions, advancing the mathematical understanding of such quantum systems.
Contribution
It establishes the well-posedness of the semi-relativistic Schrödinger-Poisson system, a significant step in analyzing relativistic quantum models.
Findings
Global existence of strong solutions
Uniqueness of solutions in the relativistic setting
Results applicable to the repulsive Coulomb case
Abstract
We show global existence and uniqueness of strong solutions for the Schrodinger-Poisson system in the repulsive Coulomb case with relativistic kinetic energy.
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