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The wavefunction envelope in one-dimensional random potentials
Authors:A Mookerjee  A M Jayannavar
Affiliation:(1) S N Bose National Centre for Basic Sciences, DB-17, Sector I, Salt Lake City, 700064 Calcutta, India;(2) International Centre for Theoretical Physics, Trieste, Italy
Abstract:
We propose a formalism for the study of mean resistance of a one dimensional chain of random potentials. We obtain the resistance as a function of the length of the chain. In the asymptotic limit, this is related to the wavefunction envelope. The formalism demands loss of translational symmetry, but is general enough to include potentials with spatial correlations which are not long ranged and also those whose randomness is inhomogeneous.
Keywords:One-dimensional random potentials  inhomogeneous disorder  wavefunction envelopes
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