On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force

Jaume Giné

Chaos, Solitons & Fractals, 2005, vol. 26, issue 5, 1259-1266

Abstract: In this work it is shown that the intrinsic phenomenon (the quantization of the energy) that appears in the first and simple systems studied initially by the quantum theory as the harmonic oscillator and the movement of a charged particle under the Coulomb force, can be obtained from the study of dissipative systems. In others words, we show that this phenomenon of the quantization of the energy of a particle which moves as an harmonic oscillator and which loses and wins energy can be obtained via a classical system of equations. The same also applies to the phenomena of the quantization of the energy of a charged particle which moves under the Coulomb force and which loses and wins energy.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:5:p:1259-1266

DOI: 10.1016/j.chaos.2005.03.015

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