  A simple model for the autolocalization of a free charged particle is
presented. The polarization well in the model is deep enough for only one
localized level. In dielectric materials with a sufficiently large dielectric
constant, two charged identical particles can be localized in one polarization
potential well, forming a bipolaron. Although several localized levels can be
found in more realistic self-consistent models of this type, the more realistic
theories require a high level of knowledge of mathematics. Hence, the proposed
model can serve as an introduction to the ideas and concepts of autolocalized
states.
