Trapping problem and Anderson localization

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Abstract

The equivalence between the trapping problem for randomly moving objects and the time evolution of a quantum mechanical particle in disordered media is sketched. For static traps, the spectral properties of the corresponding Hamiltonian are shown to determine the survival probability of the reactants. Effects of an external drift are considered using the non-Hermitian generalization of the localization problem.

Original languageEnglish
Pages (from-to)621-624
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume9
Issue number3
DOIs
StatePublished - Mar 2001
Externally publishedYes

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