Sobolev inequality for localization of pseudo-relativistic energy
A.A. Balinsky, A.E.Tyukov
TL;DR
This paper introduces Sobolev-type inequalities that help localize pseudo-relativistic energy, providing mathematical tools for analyzing energy distribution in relativistic quantum systems.
Contribution
The paper presents new Sobolev inequalities specifically designed for the localization of pseudo-relativistic energy, advancing mathematical methods in quantum physics.
Findings
Established Sobolev inequalities for pseudo-relativistic energy localization
Provided mathematical framework for energy analysis in relativistic quantum models
Enhanced understanding of energy distribution in pseudo-relativistic systems
Abstract
In this article we present Sobolev-type inequalities for the localization of pseudo-relativistic energy.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods · Numerical methods in inverse problems