Lieb-Thirring inequalities for the Dirac operator on spheres

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Kähler, Uwe, André Pedroso Kowacs, Michael V. Ruzhansky
DOI: 10.48550/arxiv.2602.00725
Cited by: 0

Abstract

In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the $n-$sphere. We then apply these results in order to improve the known upper bounds on the classical Lieb-Thirring constant on the $n$-sphere for $n\geq 5$.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Nonlinear Partial Differential Equations Mathematical Inequalities and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
31 January 2026
Document type
Preprint