N型金属氧化物泊松方程的解和费米能及E_f的变化范围 Ⅰ泊松方程解

The solution of n-type metal oxide crystals Poisson equation Ⅰ the solution of Poisson equation

提出了任意形状、无量纲n晶体的Poisson方程:d2Ψ/dy2+η-1/y dΨ/dy=1-Re-Ψ(η=1～3,0≤R≤1),其中通过引入耗散系数R隔断了泊松方程贺电中性方程的耦合.通过用参量展开的微扰理论,对泊松方程进行了级数求解,并对微扰论方法的优越性进行了讨论.

The arbitrary shape, non-dimensional Poisson equation,d^2ψ/dy^2＋η-1dψ/y dy=1-Re^-ψ.（η=1～3,0≤R≤1）of n-type crystals is proposed; and its solution by perturbation method was given.