Abstract
Quantum fluctuations of a polaron in a model of an electron-phonon Peierls system with a half-filled band and finite ionic mass are obtained. Except for the zero (Goldstone) mode discontinuous in the adiabatic limit, two branches of the oscillation mode exist: the original one, modified by the bare phonon frequency and a new one, which appears at certain critical values of the phonon frequency and of parameters of interactions of the electron-phonon hamiltonian.
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