  15-component matrix and tetrad-based description of a a scalar particle with
two electromagnetic characteristics -- charge e and polarizability \sigma, is
elaborated in presence of external Coulomb field. With the use of Wigner's
D-functions, in the basis of diagonal spherical tetrad, the separation of
variables in the generalized wave equation is done, and a system of 15 radial
equations is given. It is shown that the radial system is reduced to a
generalized Klein-Fock radial equation with an additional term of the form
r^{-4}. In the framework of the analogous approach a scalar particle with
charge e and polarizability \sigma is investigated in presence of the field of
a magnetic charge g. The separation of variables is done. Again all the radial
system is reduced to a single differential equation of second order with an
additional term of the form r^{-4} . This means that because of the known
peculiar properties of the potential r^{-4} (an absorbing center), the monopole
influence on the scalar particle with \sigma -characteristics is much more
noticeable in the radial equation than in the case of usual particle.
