A Correspondence Principle
Date
2018
Authors
Hughes, Barry D
Ninham, Barry
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Firenze University Press
Abstract
A single mathematical theme underpins disparate physical phenomena in
classical, quantum and statistical mechanical contexts. This mathematical “correspondence principle”, a kind of wave–particle duality with glorious realizations in classical
and modern mathematical analysis, embodies fundamental geometrical and physical
order, and yet in some sense sits on the edge of chaos. Illustrative cases discussed are
drawn from classical and anomalous diffusion, quantum mechanics of single particles
and ideal gases, quasicrystals and Casimir forces.
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