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

preprint1994arXivOpen access

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 $L$ .

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

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