Direct methods to Lieb-Thirring kinetic inequalities
Phan Th\`anh Nam
TL;DR
This paper reviews recent advances in Lieb-Thirring inequalities, emphasizing direct methods for kinetic estimates of orthonormal functions and their applications in many-body quantum systems.
Contribution
It introduces new direct methods for deriving Lieb-Thirring kinetic inequalities and discusses their relevance to quantum many-body problems.
Findings
Enhanced kinetic estimates for orthonormal functions
Applications to stability analysis of quantum systems
Improved bounds in Lieb-Thirring inequalities
Abstract
We review some recent progress on Lieb-Thirring inequalities, focusing on direct methods to kinetic estimates for orthonormal functions and applications for many-body quantum systems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Chemical Physics Studies · Machine Learning in Materials Science · Crystallography and molecular interactions