Abstract
This chapter is dedicated to the applications of operator method for the analysis of propagation of electron in ionic crystal, called often as propagation of polaron of a large radius. This task is qualitatively distinguishable from the ones discussed in previous chapters by the fact that Hamiltonian includes the interaction of electron with the system possessing infinite degrees of freedom and describing the phonon field of the lattice vibration. A similar problem arises for the systems, which require the self-consistent description of objects with external media, and the significance of polaron covers much wider area than the description of the interaction between electrons and phonons initially constructed by Fröhlich [1].
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Feranchuk, I., Ivanov, A., Le, VH., Ulyanenkov, A. (2015). Systems with Infinite Number of Degrees of Freedom. In: Non-perturbative Description of Quantum Systems. Lecture Notes in Physics, vol 894. Springer, Cham. https://doi.org/10.1007/978-3-319-13006-4_9
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