TY - BOOK

T1 - Validity of lee, low and pines method in the case of the interaction of an electron with a single lattice oscillator

AU - Devreese, J.

AU - Evrard, R.

PY - 1963/9

Y1 - 1963/9

N2 - The LEE-LOW-PINES approximation (or LPP 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's 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 LPP 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's 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.

UR - https://ecm.sckcen.be/OTCS/llisapi.dll/overview/39210599

M3 - BLG - Open report

T3 - SCK CEN Reports

BT - Validity of lee, low and pines method in the case of the interaction of an electron with a single lattice oscillator

PB - SCK CEN

ER -