Monopole and electrically charged dust thin shells in general relativity: classical and quantum comparison of hollow and atom-like configurations

摘要

We give a comparative description of monopole and electrically charged spherically symmetric dust thin shells. Herewith we consider two the most interesting configurations: hollow shell and shell, surrounding a body with an opposite charge. Also one considered the quantum aspects, herewith the exact solutions of wave equations and bound states spectra are found.