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We show that additional solutions must be ignored (in differences of theSchrodinger and Klein-Gordon equations) in the Dirac equation, where usuallypassed the second order radial equation, called the reduced equation, insteadof a system. Analogously to the Schrodinger equation, in this process the Diracdelta function appears, which was unnoted during the full history of quantummechanics. This unphysical term we remove by a boundary condition at theorigin. However, the distribution theory imposes on the radial function strongrestriction and by this reason practically for all potentials, even regular,use of these reduced equations is not permissible. At the end we includeconsideration in the framework of two-dimensional Dirac equation. We show thateven here the additional solution does not survives as a result of usualphysical requirements.

Dirac reduced radial equations and the problem of additional solutions