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Bound states of electrons and optical phonons under conditions of one‐dimensional quantizing
Author(s) -
Sardaryan V. S.,
Arakelyan M. M.
Publication year - 1978
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.2220850206
Subject(s) - phonon , electron , hamiltonian (control theory) , physics , condensed matter physics , bound state , quadratic equation , polarization (electrochemistry) , lattice (music) , quantum mechanics , chemistry , mathematics , geometry , mathematical optimization , acoustics
It is shown that there exist bound states of electrons and optical phonons in a film stipulated by the electron‐phonon interaction, quadratic in the displacement of the lattice. The full solution of the problem for the model Hamiltonian, in which the interaction is determined only by the momentum transfer is obtained. The existence of the bound states is also proved for a more realistic description of the polarization electron‐phonon interaction.