Self-consistent equation-of-motion approach for polarons
- 15 October 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 12 (8), 3353-3367
- https://doi.org/10.1103/physrevb.12.3353
Abstract
The polaron problem is treated in a self-consistent manner. The treatment is based on Heisenberg's equations of motion starting from a trial expression for the electron position which includes only one real phonon but any number of virtual phonons. Numerical results for the polaron effective mass and the optical-absorption coefficient are given for electron-LO-phonon coupling strengths ranging from 0 to 4.5. The results are discussed and compared with those obtained by Feynman and by Lee, Low, and Pines.Keywords
This publication has 21 references indexed in Scilit:
- Ground-State Theorem for Free PolaronsPhysical Review B, 1973
- New Dynamical Theory of the Large Polaron. I. Mathematical FormulationCanadian Journal of Physics, 1973
- On the optical absorption of free polarons at weak couplingPhysica Status Solidi (b), 1971
- Velocity Acquired by an Electron in a Finite Electric Field in a Polar CrystalPhysical Review B, 1970
- Strong‐Coupled Optical and Piezoelectric Polarons in a Magnetic FieldPhysica Status Solidi (b), 1970
- Perturbation Theoretic Calculation of Polaron MobilityPhysical Review B, 1964
- Mobility of Slow Electrons in a Polar CrystalPhysical Review B, 1962
- Slow Electrons in Polar Crystals: Self-Energy, Mass, and MobilityPhysical Review B, 1959
- Small Oscillation Theory of the Interaction of a Particle and Scalar FieldPhysical Review B, 1955
- Mobility of Slow Electrons in Polar CrystalsPhysical Review B, 1955