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Cambridge University Press eBooks

How quantum and classical theories relate

Published Sep 23, 1999• 0 citations
Publisher
DOI
10.1017/cbo9781139167093.010

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Sharp uncertainty relations restricting the values of variances in the position space and in the momentum (wavevector) space are derived. They have the same form ΔrΔk≥5/2ΔrΔk\ge 5/2ΔrΔk≥5/2 in the classical theory of light beams, in the quantum theory of coherent light beams, and in the quantum theory of individual photons.
Quantum electrodynamics presents intrinsic limitations in the description of physical processes that make it impossible to recover from it the type of description we have in classical electrodynamics. Hence one cannot consider classical electrodynamics as reducing to quantum electrodynamics and being recovered from it by some sort of limiting procedure. Quantum electrodynamics has to be seen not as a more fundamental theory, but as an upgrade of classical electrodynamics, which permits an extension of classical theory to the description of phenomena that, while being related to the conceptual framework of the classical theory, cannot be addressed from the classical theory.