Multidimensional bound optical polaron revisited

Abstract

The multidimensional bound optical polaron problem is studied using various approximation schemes viz. the Lee, Low, Pines canonical transformation method and its modified versions as developed by Gross and by Huybrechts, the Landau-Pekar variational method, and the Feynman-Haken path integral formalism. Simple scaling relations are obtained for the ground state energy and the total number of virtual phonons around the electron and the effect of the dimensionality on the polaron phenomena are discussed. © 1990.