Local spin 1/2 wave equations and harmonic confinement

It is proposed that the long range forces confining the q anti-q system may be described by a pair of local covariant wave equations. It is proven that the integrability conditions of this pair determine the interaction essentially uniquely. Within a rather general class of wave equations there are only two charge conjugation symmetric solutions of the integrability conditions i) free quarks, ii) harmonically confined quarks. Some possible generalizations that may be of interest in connection with the description of mesons containing quarks of unequal mass are discussed