Validity of Lee, Low and Pines Method in the Case of the Interaction of an Electron with a Single Lattice Oscillator

Jozef  T. Devreese; Roger P. Evrard

doi:10.1002/pssb.19630031118

Validity of Lee, Low and Pines Method in the Case of the Interaction of an Electron with a Single Lattice Oscillator

Jozef T. Devreese, Roger P. Evrard

Research output › peer-review

Abstract

The LEE‐LOW‐PINES approximation (or LLP approximation) of polaron theory is applied to a model first studied by GROSS, in which the polarization field is supposed to have only one k‐component. The results are compared with the exact solutions obtained with GROSS' method. It is shown that, in the particular case of this model, the LLP approximation is not very satisfactory when the mean number of phonons is of the order of, or greater than, 1/2. Thus the relative smallness of the mean number of virtual phonons cannot provide an argument for the validity of the LLP method in the intermediate coupling region.

Original language	English
Pages (from-to)	2133-2142
Number of pages	10
Journal	Physica Status Solidi (B)
Volume	3
Issue number	11
DOIs	https://doi.org/10.1002/pssb.19630031118
State	Published - 1963
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Access to Document

10.1002/pssb.19630031118

Cite this

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title = "Validity of Lee, Low and Pines Method in the Case of the Interaction of an Electron with a Single Lattice Oscillator",

abstract = "The LEE‐LOW‐PINES approximation (or LLP approximation) of polaron theory is applied to a model first studied by GROSS, in which the polarization field is supposed to have only one k‐component. The results are compared with the exact solutions obtained with GROSS' method. It is shown that, in the particular case of this model, the LLP approximation is not very satisfactory when the mean number of phonons is of the order of, or greater than, 1/2. Thus the relative smallness of the mean number of virtual phonons cannot provide an argument for the validity of the LLP method in the intermediate coupling region.",

author = "Devreese, {Jozef T.} and Evrard, {Roger P.}",

year = "1963",

doi = "10.1002/pssb.19630031118",

language = "English",

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pages = "2133--2142",

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T1 - Validity of Lee, Low and Pines Method in the Case of the Interaction of an Electron with a Single Lattice Oscillator

AU - Devreese, Jozef T.

AU - Evrard, Roger P.

PY - 1963

Y1 - 1963

N2 - The LEE‐LOW‐PINES approximation (or LLP approximation) of polaron theory is applied to a model first studied by GROSS, in which the polarization field is supposed to have only one k‐component. The results are compared with the exact solutions obtained with GROSS' method. It is shown that, in the particular case of this model, the LLP approximation is not very satisfactory when the mean number of phonons is of the order of, or greater than, 1/2. Thus the relative smallness of the mean number of virtual phonons cannot provide an argument for the validity of the LLP method in the intermediate coupling region.

AB - The LEE‐LOW‐PINES approximation (or LLP approximation) of polaron theory is applied to a model first studied by GROSS, in which the polarization field is supposed to have only one k‐component. The results are compared with the exact solutions obtained with GROSS' method. It is shown that, in the particular case of this model, the LLP approximation is not very satisfactory when the mean number of phonons is of the order of, or greater than, 1/2. Thus the relative smallness of the mean number of virtual phonons cannot provide an argument for the validity of the LLP method in the intermediate coupling region.

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DO - 10.1002/pssb.19630031118

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JO - Physica Status Solidi (B)

JF - Physica Status Solidi (B)

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