Abstract
We study the statistical evolution of a charged particle moving in phase space under the action of vacuum fluctuations of the zero-point electromagnetic field. Our starting point is the Liouville equation, from which we derive a classical stochastic Schrodinger like equation for the probability amplitude in configuration space. It should be stressed that we are not deriving the Schrodinger wave equation. An equation formally identical to the Schrodinger equation used in Quantum Mechanics is obtained as a particular case of the classical stochastic Schrodinger like equation. An inconsistency appearing in the standard Schrodinger equation, when vacuum electromagnetic fluctuations and radiation reaction are taken into account, is clearly identified and explained. The classical stochastic Schrodinger like equation, however, is consistently interpreted within the realm of Stochastic Electrodynamics.
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References
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Dechoum, K., Franca, H.M., Malta, C.P. (2002). Towards A Classical Re-Interpretation of the Schrodinger Equation According to Stochastic Electrodynamics. In: Amoroso, R.L., Hunter, G., Kafatos, M., Vigier, JP. (eds) Gravitation and Cosmology: From the Hubble Radius to the Planck Scale. Fundamental Theories of Physics, vol 126. Springer, Dordrecht. https://doi.org/10.1007/0-306-48052-2_39
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DOI: https://doi.org/10.1007/0-306-48052-2_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0885-6
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