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Some connections between the classical theory of fluctuations and quantum field theory

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Abstract

A number of authors have noticed that the ground state of the harmonic oscillator can be represented as the motion of a classical charged particle under the influence of a fluctuating electromagnetic field, provided the effect of radiative reaction is taken into account. Their work is reviewed and some new results are obtained which extend the treatment to excited states.

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Marshall, T.W. Some connections between the classical theory of fluctuations and quantum field theory. Soviet Physics Journal 11, 23–27 (1968). https://doi.org/10.1007/BF00817843

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  • DOI: https://doi.org/10.1007/BF00817843

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