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Classical spin in a potential field

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Abstract

We consider an ensemble of restricted discrete random walks in 2+1 dimensions. The restriction on the walks is such as to given particles an intrinsic angular momentum. The walks are embedded in a field which affects the mean free path of the walks. We show that the dynamics of the walks is such that second-order effects are described by a discrete form of Schrödinger's equation for particles in a potential field. This provides a classical context of the equation which is independent of its quantum context.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Western Ontario, N6A 5B7, London, Ontario, Canada

    G. N. Ord & A. S. Deakin

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  1. G. N. Ord
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  2. A. S. Deakin
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Ord, G.N., Deakin, A.S. Classical spin in a potential field. Int J Theor Phys 36, 2013–2021 (1997). https://doi.org/10.1007/BF02435957

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  • DOI: https://doi.org/10.1007/BF02435957

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