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Elsevier eBooks

The Polaron Model

G. Höhler

Published Jan 1, 1961• 2 citations
Publisher
DOI
10.1016/b978-0-12-395617-0.50026-8

Related papers

The Low-Lying States of a System of Polarons in the Landau-Pekar Adiabatic Approximation.

Edwards, James Lloyd

An effective interaction potential for a pair of polarons is derived in a Landau-Pekar adiabatic approximation.The possibility of formation of bound states of two polarons is discussed.The lowlying energy states of a system of Landau-Pekar polarons interacting with the derived effective potential are investigated by employing approximation models including a body-centered cubic lattice of polarons, a Hartree-Fock gas of polarons, and a Hartree-Fock gas of polarons weakly coupled to a polaron plasma.The low-lying energy states based on these models are examined numerically for a specific test case intended to describe polarons in an ionic crystal with a polaron coupling constant large enough that the Landau-Pekar approximation may be expected to be appropriate.It is found that, for a wide range of polaron densities, the plasma-coupled gas model yields the best results among the models treated.

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The Polaron Problem

Lecture notes in physics. M, Monographs•Dec 15, 2008•0 citations

Polarons

R. Evrard

Springer eBooks•Jan 1, 1983•0 citations

Polaron Theory: Model Problems

Nikolay N. Bogolubov

1. Linear Polaron Model 2. Equilibrium Thermodynamic State of the Polaron Systems 3. Kinetic Equations in the Polaron Theory.

•May 1, 2000•5 citations

THE BOGOLUBOV REPRESENTATION OF THE POLARON MODEL AND ITS COMPLETELY INTEGRABLE RPA-APPROXIMATION PART 1

Nikolai N. Bogolubov, Russian Federation, Abdus Salam +1 more

The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at nite temperature is calculated analytically. The polaron free energy in the constant magnetic eld at nite temperature is also discussed. Based on the structure of the Bogolubov unitary transformed polaron Hamiltonian there is stated a very important new result: the full polaron model is exactly solvable.

•Jan 1, 2009•0 citations

LINEAR POLARON MODEL

World Scientific lecture notes in physics•Nov 1, 1988•0 citations
An effective interaction potential for a pair of polarons is derived in a Landau-Pekar adiabatic approximation.The possibility of formation of bound states of two polarons is discussed.The lowlying energy states of a system of Landau-Pekar polarons interacting with the derived effective potential are investigated by employing approximation models including a body-centered cubic lattice of polarons, a Hartree-Fock gas of polarons, and a Hartree-Fock gas of polarons weakly coupled to a polaron plasma.The low-lying energy states based on these models are examined numerically for a specific test case intended to describe polarons in an ionic crystal with a polaron coupling constant large enough that the Landau-Pekar approximation may be expected to be appropriate.It is found that, for a wide range of polaron densities, the plasma-coupled gas model yields the best results among the models treated.
The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at nite temperature is calculated analytically. The polaron free energy in the constant magnetic eld at nite temperature is also discussed. Based on the structure of the Bogolubov unitary transformed polaron Hamiltonian there is stated a very important new result: the full polaron model is exactly solvable.