Motion of an electron in a one-dimensional system with displacement phase transition

The problem of the motion of an electron in a one-dimensional system with a phasetransition of displacement type is considered. It is shown that there exists a bound state of the electron with a cluster wall. The energy of the electron and its effective mass are calculated. The influence of the motion of the electron on the cluster wall is studied. The variation of the parameters of the “electron-cluster wall” system as a function of the temperature is found.