Open AccessINTERBAND OPTICAL PROPERTIES OF AN n-DIMENSIONAL SOLID AND HARMONIC OSCILLATOR MODEL THE N/2-FOLD INTEGRAL RELATIONS
Author(s) -
He Xing-Fei,
Dang Mo
Publication year - 1987
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.36.1624
Subject(s) - harmonic oscillator , dielectric function , curse of dimensionality , oscillator strength , dielectric , physics , operator (biology) , spectrum (functional analysis) , mathematical analysis , quantum mechanics , spectral line , mathematics , biochemistry , statistics , chemistry , repressor , transcription factor , gene
We demonstrate that the interhand dielectric function and its k-th derivative spectrum near an n-dimensional critical point can be evaluated from the harmonic oscillator dielectric function and its k-th derivative spectrum, respectively, by using n/2-fold integration. The physical characteristics of harmonic oscillator in the interband spectra of an n-dimensional solid are exhibited by the action of n/2-fold integral operator. Relations between interband transitions and harmonic oscillator model, and between optical properties and dimensionality are discussed. In the fractional integral expressions for the interband optical responses, dimensionality n can be generated to an arbitrary continuous parameter.