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Wave-Particle Duality in Nonlinear Klein-Gordon Equation

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Abstract

In this paper, I present a nonlinear potential for the Klein-Gordon equation which leads to localized, non-dispersive wave-packets with remarkable properties. These properties include the deBroglie’s wavelength-momentum and the Einstein’s energy-momentum-rest mass relations and a relativistic total energy which coincides with the mass parameter times the velocity of light squared, also equal to the Planck’s constant times the frequency in the rest frame of the wave-packet. Energy and momentum, therefore, can be transported by soliton-like wave-packets with well-defined energy and momentum, without the implementation of the canonical quantum procedure.

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  1. Physics Department, Biruni Observatory, Shiraz University, Shiraz, 71454, Iran

    N. Riazi

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  1. N. Riazi
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Correspondence to N. Riazi.

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Riazi, N. Wave-Particle Duality in Nonlinear Klein-Gordon Equation. Int J Theor Phys 50, 3451–3458 (2011). https://doi.org/10.1007/s10773-011-0850-7

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  • DOI: https://doi.org/10.1007/s10773-011-0850-7

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