The spatial statistical properties of wave functions in a disordered finite one-dimensional sample

Abstract

For a given wave function one can define a quantity $\mu_E$ having a meaning of its inverse spatial size. The Laplace transform of the distribution function $P(\mu_E)$ is calculated analytically for a 1D disordered sample with a finite length $L$.Comment: LaTEX, 7 pages, Preprint IFUM-456/FT, Milano, Jan.199