Bound state solutions of Dirac equation with repulsive scalar linear potential

It is shown that the Dirac equation has bound-state solutions for a repulsive scalar linear potential. Analytical solutions exist when there exist certain quantitative relations between the strength constant a of the linear potential and the mass m of the particle, as shown in a previous case that examines the attractive scalar linear potential. The energies of the bound states and relations between a and m are the same as those of attractive potential except for the sign of a.