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arxiv: cond-mat/9402107 · v1 · pith:6ZWHXOWFnew · submitted 1994-02-25 · ❄️ cond-mat

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

classification ❄️ cond-mat
keywords disorderedfinitefunctionsamplespatialwaveanalyticallycalculated
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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 $L$.

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