Prog. Theor. Phys. Vol. 11 No. 4 (1954) pp. 449-460
Note on the Slow Electrons in a Polar Crystal
Department of Physics, Faculty of Science, University of Niigata
(Received February 15, 1954)
A new perturbation technique is developed to investigate the
properties of a slow electron in a polar crystal at absolute zero. The
low-lying energy levels in a conduction band are calculated up to the
order of K2 by the second order perturbation calculation, where
\hbarK is the total momentum of the system, i.e. that of the
polaron. For K = 0 the energy agrees nearly with that obtained by
the variational method. In the neighbourhood of K = 0 the effective
mass becomes m(1-a/6)-1, a being the coupling constant between an
electron and the longitudinal optical modes of lattice vibrations. It
is also shown that for K = 0 the eigenfuncion and the eigenvalue of
the total Hamiltonian obtained by the variational procedure coincide
with those in the zero-th approximation of the present perturbation
method. The second order wave function is constructed which enables us
to calculate the electro-static potential and the charge density due
to the ionic polarization around the electron.
DOI : 10.1143/PTP.11.449
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Citing Article(s) :
Journal of the Physical Society of Japan 71 (2002) pp. 1332-1338
Magnetic Field and Temperature Dependence of the Mass of a Surface Polaron in Polar Crystals
Jing-Lin Xiao Eerdunchaolu and Wei Xiao
Journal of the Physical Society of Japan 72 (2003) pp. 627-633
Temperature Dependence of the Properties of the Strong-Coupling Polaron in a Slab of Polar Crystal
Eerdunchaolu Bao and J. L. Xiao
Journal of the Physical Society of Japan 76 (2007) 044702
(7 pages) :
Effects of Lattice Vibration on the Properties of the Strong-Coupling Polaron in a Quantum Well
Eerdunchaolu and J. L. Xiao
Progress of Theoretical Physics Vol. 13 No. 5 (1955) pp. 555-557
Self-Energy of Slow Polaron and Variational Method