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

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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.

Document Type: Research Article

DOI: https://doi.org/10.1080/00107510110096928

Publication date: 2002-01-01

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