Reduction of the Bethe-Salpeter equation to an equivalent Schroedinger equation, with applications

Journal Article · Fri Sep 01 00:00:00 EDT 1978 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.18.810· OSTI ID:7049643

Caswell, W E; Lepage, G P

We propose a new relativistic two-body formalism which reduces to a nonrelativistic Schroedinger theory for a single effective particle. The formalism is equal in rigor to that of Bethe and Salpeter, and considerably simpler to apply. We illustrate its use by computing O (..cap alpha../sup 6/) terms in the ground-state splitting of muonium and positronium involving infinite Coulomb exchange.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 7049643
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 18:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640303* -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
BETHE-SALPETER EQUATION
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
HYPERFINE STRUCTURE
MUONIUM
POSITRONIUM
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
WAVE EQUATIONS