Electron Dynamics in Tight‐Binding Approximation ‐ the Influence of Thermal Anharmonic Lattice Excitations

We study here several basic problems of the quantum mechanics of electrons which are embedded into a onedimensional (1D) nonlinear, thermally excited lattice. Our approach uses the tight-binding model for the dynamics of the electrons. Through coupling terms in the Hamiltonian the electron quantum dynamics is connected with the classical dynamics of the lattice endowed with Morse interactions. First it is shown that the electron forms bound states with the solitonic excitations in the lattice. These so-called solectrons may move with supersonic speed. Then we study the effects of interference of solectrons with solitons. Finally we study the interference between thermal excitations on tunneling between two minima. c

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