Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-29
Physics
High Energy Physics
High Energy Physics - Theory
23 pafes, Latex, Proc. of the 12th International School & Conference "Foundation & Advances in Nonlinear Science", 2004, Septe
Scientific paper
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.
Kisel V. V.
Red'kov Victor M.
Tokarevskaya Natalia G.
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