2013/01/21 by Pavel Exner, Ari Laptev, Ари Лаптев +1
Computer Science · Mathematics · Physics and Astronomy · #Boundary value problem #Inequality #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Numerical methods in inverse problems #Operator (biology) #Pure mathematics #Schrödinger's cat #Spectral Theory in Mathematical Physics #Star (game theory) #math-ph #math.MP #math.SP #msc:34L15 #msc:34L90 #quant-ph
paper · pdf · doi:10.1007/s00220-014-1885-4
published as Commun. Math. Phys. 326 (2014), 531-541
arxiv created 2013/01/21 · openalex publication_date 2014/02/01 · arxiv updated 2019/12/10 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
In this paper we obtain sharp Lieb-Thirring inequalities for a Schrödinger operator on semi-axis with a matrix potential and show how they can be used to other related problems. Among them are spectral inequalities on star graphs and spectral inequalities for Schrödinger operators on half-spaces with Robin boundary conditions.