The Spatial Statistical Properties of Wave Functions in a Disordered Finite One-Dimensional Sample

1994/02/25 by I. V. Kolokolov, I. V Kolokolov · 10 citations
Earth and Planetary Sciences · Physics and Astronomy · #Distribution (mathematics) #Distribution function #Function (biology) #Inverse #Inverse Laplace transform #Inverse problem #Laplace transform #Ocean Waves and Remote Sensing #Random lasers and scattering media #Sample (material) #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1209/0295-5075/28/3/007

published in Europhysics Letters (EPL) 28(3), 193-198 (Institute of Physics) · LaTEX, 7 pages, Preprint IFUM-456/FT, Milano, Jan.1994

arxiv created 1994/02/25 · openalex publication_date 1994/10/20 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For a given wave function one can define a quantity μ_E having a meaning of its inverse spatial size. The Laplace transform of the distribution function P(μ_E) is calculated analytically for a 1D disordered sample with a finite length L.

Citations

• A universal instability of many-dimensional oscillator systems

Cited by

• Mesoscopic fluctuations of eigenfunctions and level-velocity distribution in disordered metals