1994/03/07 by J. Mourad, H. Sazdjian · 4 citations
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-ph
paper · pdf · doi:10.1063/1.530681
published as J.Math.Phys. 35 (1994) 6379-6406 · 49 pages, REVTEX, 2 figures (available from the authors), preprint IPNO/TH 94-5 and LPTHE 94/16
arxiv created 1994/03/07 · openalex publication_date 1994/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The two-fermion relativistic wave equations of constraint theory are reduced, after expressing the components of the 4×4 matrix wave function in terms of one of the 2×2 components, to a single equation of the Pauli–Schrödinger type, valid for all sectors of quantum numbers. The potentials that are present belong to the general classes of scalar, pseudoscalar, and vector interactions and are calculable in perturbation theory from Feynman diagrams. In the limit when one of the masses becomes infinite, the equation reduces to the two-component form of the one-particle Dirac equation with external static potentials. The Hamiltonian, to order 1/c2, reproduces most of the known theoretical results obtained by other methods. The gauge invariance of the wave equation is checked, to that order, in the case of QED. The role of the c.m. energy dependence of the relativistic interquark confining potential is emphasized and the structure of the Hamiltonian, to order 1/c2, corresponding to confining scalar potentials, is displayed.