n维固体带间光学性质与振子模型 n/2次积分关系

本文证明,n维固体临界点附近的带间介电函数及其微分谱可用n/2次积分分别从振子的介电函数及其微分谱求出。n维固体带间光谱中的振子物理特征通过n/2次积分算符的作用表现出来。文中讨论了带间跃迁与振子模型,光学性质与维度性之间的物理联系。在固体带间光谱的分数次积分表达式中,维度n可以推广到分数维数。关键词：

INTERBAND OPTICAL PROPERTIES OF AN n-DIMENSIONAL SOLID AND HARMONIC OSCILLATOR MODEL THE N/2-FOLD INTEGRAL RELATIONS

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.