Vm. Villalba, EXACT SOLUTION OF THE DIRAC-EQUATION IN THE PRESENCE OF PSEUDOSCALAR POTENTIALS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(1), 1997, pp. 109-116
In the present article we analyze the problem of a relativistic Dirac
electron in the presence of the pseudoscalar potentials alpha gamma(5)
/\z\, alpha gamma(5)/rho, and alpha gamma(5)/r in Cartesian, cylindric
al and spherical coordinates, respectively. After separating variables
, we compute the solutions of the Dirac equation and show that there a
re not bound states of the energy.