2004/09/30 by Chao-Hsi Chang, Jiao-Kai Chen · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Bound state #Matrix Theory and Algorithms #Numerical methods for differential equations #Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #nucl-th
paper · pdf · doi:10.1088/6102/44/4/646
published as Commun.Theor.Phys.44:646-650,2005 · 5 pages, no figure
arxiv created 2004/10/01 · openalex publication_date 2005/10/01 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We take the (μ ± e ∓ ) system as an example, but restrict ourselves to highlight the states with quantum number J P = 0 − , to explore the different contents of the instantaneous Bethe–Salpeter (BS) equation and its analog, the relativistic version of Breit equation, by solving them exactly. The results show that the two equations are not equivalent, although they are analogous. Furthermore, since the Breit equation contains extra un-physical solutions, so we point out that it should be abandoned if one wishes to have an accurate description of the bound states for the instantaneous interacting binding systems.