The role of boundary conditions in solving finite-energy, two-body, bound-state Bethe-Salpeter equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:197

Article

Mainland, GB

关键词: Bethe-Salpeter equation;    relativistic equations;    bound-state equations;   

DOI  :  10.1016/j.jcp.2003.12.011

来源: Elsevier

【 摘 要 】

The difficulties that typically prevent numerical solutions from being obtained to finite-energy, two-body, bound-state Bethe-Salpeter equations can often be overcome by expanding solutions in terms of basis functions that obey the boundary conditions. The method discussed here for solving the Bethe-Salpeter equation requires only that the equation can be Wick rotated and that the two angular variables associated with rotations in three-dimensional space can be separated, properties that are possessed by many Bethe-Salpeter equations including all two-body, bound-state Bethe-Salpeter equations in the ladder approximation. The efficacy of the method is demonstrated by calculating finite-energy solutions to the partially-separated Bethe-Salpeter equation describing the Wick-Cutkosky model when the constituents do not have equal masses. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free