Abstract
The strong coupling limit is studied for a Pekar-Fröhlich polaron confined to a one-dimensional (1D) structure. The non-linear effective Schrödinger equation is solved exactly in the case of two different external potentials which imitate a finite size 1D sample: an infinite and a finite deep rectangular well. The ground state and excited states are calculated. We found that taking the limit of a finite size box to an infinitely large box leads to additional solutions which are not found in a treatment on an infinite axis. The additional solutions, which have a 1/n 2 discrete spectrum, correspond to polaron states in which the wave function is split up in identical parts which are infinitely apart from each other.
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Vansant, P., Smondyrev, M.A., Peeters, F.M. et al. Strong-coupling limit for one-dimensional polarons in a finite box. Z. Phys. B - Condensed Matter 99, 345–351 (1995). https://doi.org/10.1007/BF02769952
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DOI: https://doi.org/10.1007/BF02769952