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Wave mechanics: The interplay between stochastics and quanta

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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

Abstract

The authors make an attempt to understand the wave aspects of quantum mechanics within the framework of stochastic electrodynamics. The electron, considered originally as a point particle, is seen to perform a fine vibration of wave-number k c = mc/ħ sustained by the zeropoint radiation field; its interaction with the field waves of frequencies close to ω c = ck c gives rise to a modulation wave with de Broglie's wavelength. A heuristic analysis leads to the construction of the wave equation for the modulation amplitude. A few simple examples are given to illustrate the appearance of interference phenomena and quantization as the result of demanding that a standing modulation characterizes any stationary dynamical situation.

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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Cetto, A., de la Peña, L. (1995). Wave mechanics: The interplay between stochastics and quanta. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_46

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  • DOI: https://doi.org/10.1007/3-540-60188-0_46

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

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