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Crater.-.Breit.Equation.from.Two.Body.Dirac.Equation.(1996).pdf

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Crater.-.Breit.Equation.from.Two.Body.Dirac.Equation.(1996).pdf

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Crater.-.Breit.Equation.from.Two.Body.Dirac.Equation.(1996).pdf

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文档介绍:arXiv:hep-ph/9603402 v1 25 Mar 1996
iglrt-reBetEuto tan Two-Body Constraint from Equation Breit Singularity-Free
eateto hsc n srnm,Uiest fCalifor of University Astronomy, and Physics of Department
hs ahlge nmn oprubtv ramns ou To treatments. nonperturbative many in pathologies dyn these constraint of equations Dirac two-body the states contrast, bound In unphysical to rise give to known are They there. themsel potentials the when even potentials attractive for
hc pera nt separations finite at appear f es difficulty The perturbations. as treated not are c terms if pathological es equation former the twotrodynamics, the applicatio In (2) dynamics. and constraint equation, from derived Breit equations the (1) problem: two-body tic
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h nvriyo ense pc nttt,Tlaoa Te Tullahoma, Institute, Space Tennessee of University The
a ig ainlLbrtr,OkRde N37831-6373 TN Ridge, Oak Laboratory, National Ridge Oak
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hu-i Wong Cheuk-Yin
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Equations
Abstract
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marked differences we first express these contraint equations, which have an
“external potential” form similar to coupled one-body Dirac equations, in a
hyperbolic form. These coupled equations are then re-cast into two equiv-
alent equations: (1) a covariant Breit-like equation with potentials that are
exponential functions of certain “generator” functions, and (2) a covariant or-
thogonality constraint on the relative momentum. This reduction enables us
to show in a transparent way that finite-r singularities do not a