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Please use this identifier to cite or link to this item: http://hdl.handle.net/11154/3475

Title: QUANTUM RANDOM-WALK AND TRANSIENT PHENOMENA
Authors: GODOY, S
BRAUN, E
Andrade, L
Issue Date: 1993
Abstract: The quantum random walk (QRW) is a new microscopic model for diffusion in a one-dimensional lattice. In order to test its reliability we use the QRW mathematical model to solve the lattice equivalent of the well known perfect-absorbent shutter problem. The QRW is by construction a causal theory
therefore even though our solution lacks for times less than x/v the non-causal behavior, which is characteristic of an exact Moshinsky ''diffraction in time'' solution, our QRW-derived solution shows for times greater than x/v a damped-oscillatory behavior which resembles the causal Moshinsky solution. Therefore at least for the shutter problem, the oscillatory transient behavior is well approximated by the QRW theory. This gives a confidence test on the model.
URI: http://hdl.handle.net/11154/3475
ISSN: 0378-4371
Appears in Collections:Física

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