Work

A simple approach to Lieb–Thirring type inequalities

Year: 2023

Type: article

Abstract: In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2023.110129

Authors: Robert Seiringer, Jan Philip Solovej

Institutions: Institute of Science and Technology Austria, University of Copenhagen

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,370

Funder: Institute of Science and Technology Austria