RANDOM-WALKS AND SCHRODINGERS EQUATION IN (2+1) DIMENSIONS

Authors
ORD GN DEAKIN AS
Citation
Gn. Ord et As. Deakin, RANDOM-WALKS AND SCHRODINGERS EQUATION IN (2+1) DIMENSIONS, Journal of physics. A, mathematical and general, 30(3), 1997, pp. 819-830
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
3
Year of publication
1997
Pages
819 - 830
Database
ISI
SICI code
0305-4470(1997)30:3<819:RASEI(>2.0.ZU;2-V
Abstract
Some recent results have shown that in addition to its role in quantum mechanics, the Schrodinger free particle equation in (1 + 1) dimensio ns describes second-order effects in ensembles of lattice random walks . This alternative classical context for Schrodinger's equation is ind ependent of its role in quantum mechanics. In this paper we extend thi s result to include the case of Schrodinger's equation in (2 + 1) dime nsions for a particle in a smooth bounded potential. The extension sug gests that the new classical context of Schrodinger's equation is quit e general.