New Constants in Discrete Lieb-Thirring Inequalities for Jacobi Matrices

2013/12/06 by Arman Sahovic, Sahovic, Arman
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1312.1907

openalex publication_date 2013/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is essentially derived from the observation that some results used for improving constants in the Lieb-Thirring inequalities for Schrodinger operators in L2(-∞,∞) can be translated to the discrete Schrodinger op- erators and more generally to Jacobi matrices. Some results were previ- ously proved by D. Hundertmark and B. Simon and the aim of this article is to improve the constants obtained in their article [7].

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