Schr{umlt o}dinger{close_quote}s equation and discrete random walks in a potential field
- Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7 (Canada)
It has been recently noted that the free particle Schr{umlt o}dinger equation in 1+1 dimensions occurs naturally in the description of correlations in random walks. In this non-quantum context, wave function solutions describe features of ensembles of random walks on lattices and are as a consequence observable and easily interpreted. In this article we extend this result to show that the original random walk system may be modified to include a smooth temperature field which locally alters the walker{close_quote}s expected mean free path. This modification effects the correlations in such a way that Schr{umlt o}dinger{close_quote}s free particle equation aquires a potential term. {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 389219
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 250; ISSN APNYA6; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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