Abstract
The approximated density matrix of the polaron system obtained in our previous paper for deriving the Feynman effective mass ${m}_{F}$ and the Krivoglaz-Pekar mass ${m}_{\mathrm{KP}}$ is reconsidered. It is shown that to obtain a consistent definition of the polaron effective mass one must impose the condition ${m}_{F}{=m}_{\mathrm{KP}}.$ This consistent definition is based on the fact that the wave functions derived from the density matrix corresponding to each excited state must be normalized and orthogonal. This condition leads to a consistent definition of the effective mass and a different variation principle for treating excited states. Numerical results are presented.
Published Version
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