Reduction of the {Bethe-Salpeter} Equation to an Equivalent Schrodinger Equation, With Applications - INSPIRE

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Reduction of the {Bethe-Salpeter} Equation to an Equivalent Schrodinger Equation, With Applications

William E. Caswell
(
- SLAC
)
,
G.Peter Lepage
(
- SLAC
)

Feb, 1978

31 pages

Published in:

Phys.Rev.A 18 (1978) 810

DOI:

10.1103/PhysRevA.18.810

Report number:

SLAC-PUB-2080

View in:

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Abstract: (APS)

We propose a new relativistic two-body formalism which reduces to a nonrelativistic Schrödinger 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(α6) terms in the ground-state splitting of muonium and positronium involving infinite Coulomb exchange.

FERMION FERMION: BOUND STATE
BETHE-SALPETER EQUATION
QUANTUM MECHANICS: SCATTERING
SCATTERING: QUANTUM MECHANICS
PERTURBATION THEORY
MUON: HYPERFINE STRUCTURE
POSITRONIUM: HYPERFINE STRUCTURE
QUANTUM ELECTRODYNAMICS
EXCHANGE: COULOMB

References(20)

Figures(0)

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