A model of population genetics and its mathematical relation to quantum theory

Waxman, David (2002) A model of population genetics and its mathematical relation to quantum theory. Contemporary Physics, 43 (1). pp. 13-20. ISSN 0010-7514

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Abstract

A basic model used in population genetics is motivated and it is shown how the resulting theory has a mathematical complexity equivalent to that of non-relativistic one-particle quantum mechanics. For the model in question, it is shown that a Schrödinger-like equation underlies the dynamics with the main difference that the time derivative term lacks a coefficient of i = ¡ -1. A number of special cases of the model are analysed, including one that makes connections with a topic of current interest in theoretical physics.

Item Type: Article
Schools and Departments: School of Life Sciences > Biology and Environmental Science
Depositing User: David Waxman
Date Deposited: 06 Feb 2012 19:55
Last Modified: 25 Jul 2012 13:01
URI: http://sro.sussex.ac.uk/id/eprint/23048
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