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Energy Spectrum of a Bound Polaron
Author(s) -
Bajaj K. K.,
Clark T. D.
Publication year - 1972
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220520122
Subject(s) - polaron , excited state , phonon , physics , coulomb , condensed matter physics , ground state , perturbation theory (quantum mechanics) , electron , atomic physics , crystal (programming language) , lattice (music) , quantum mechanics , computer science , acoustics , programming language
Abstract Energies of the ground state and of a few low lying excited states of a conduction electron coupled simultaneously to an attractive Coulomb potential and to a longitudinal optical phonon field of the crystal lattice are obtained in analytic forms. The coupling describing the interaction between the electron and the phonon field is assumed to be weak and therefore second order perturbation theory as formulated by Dalgarno and Lewis is used. The values of 1s → 2p and 1s → ∞ transitions thus obtained are compared with those observed experimentally in the far infrared optical absorption in silver halides and semiconducting CdF 2 and a good agreement is found. A comparison between the theoretical results, obtained and those of others is presented.