2004/12/14 by Fabian Brau
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1063/1.1850997
published as J. Math. Phys. 46, 032305 (2005) · 8 pages
arxiv created 2004/12/14 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
In the context of relativistic quantum mechanics, where the Schrödinger equation is replaced by the spinless Salpeter equation, we show how to construct a large class of upper limits on the critical value, gc(l), of the coupling constant, g, of the central potential, V(r)=−gv(r). This critical value is the value of g for which a first l-wave bound state appears.