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Physics Education

The uncertainty principle, virtual particles and real forces

Goronwy Tudor Jones

Published May 1, 2002• 7 citations
Publisher

Abstract

This article provides a simple practical introduction to wave-particle duality, including the energy-time version of the Heisenberg Uncertainty Principle. It has been successful in leading students to an intuitive appreciation of virtual particles and the role they play in describing the way ordinary particles, like electrons and protons, exert forces on each other.

DOI
10.1088/0031-9120/37/3/306

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This article provides a simple practical introduction to wave-particle duality, including the energy-time version of the Heisenberg Uncertainty Principle. It has been successful in leading students to an intuitive appreciation of virtual particles and the role they play in describing the way ordinary particles, like electrons and protons, exert forces on each other.
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The uncertainty principle comes into force because of the wave like properties of “particles” like electrons and protons. The waves tell the dynamics of the particle – its momentum, its energy and even its angular momentum. Wave packets are made by adding together many simple waves that run forever. If electrons have the wave properties then there must be a wave equation and a wave function to describe the electron waves just as the waves of light, sound and strings are described. The success of wave mechanics was well demonstrated by Erwin Schrödinger before an acceptable interpretation of the wave function was known. Max Born utilized the probability concepts of the uncertainty principle to give us the presently accepted ideas of the wave function.
Quantum mechanics describes physical systems through probabilistic wave functions, accounting for phenomena such as wave–particle duality and the uncertainty principle. Although the mathematical formalism of quantum mechanics is well established, conceptual understanding of how quantum entities transition between wave-like and particle-like behavior remains an active area of research. In this work, quantum mechanical principles are re-examined from an interaction-based perspective, emphasizing the roles of environmental coupling, measurement geometry, and energy exchange. Using the photoelectric effect, de Broglie relations, and Heisenberg’s uncertainty principle as foundational elements, a conceptual framework is proposed in which particle identity emerges dynamically from wave interaction with matter and measurement constraints. This interpretation provides an intuitive bridge between classical reasoning and quantum behavior while fully preserving the standard mathematical structure of quantum mechanics...........Please check the attachment for details
Abstract In 1925, de Broglie hypothesized that any material particle has an associated wave with /h p . Electron diffraction seems to support that Hypothesis. But then, the electron at rest will have infinite wavelength, and infinite wave phase velocity. This says that for a material particle, the de Broglie relation does not hold. Failed attempts to save the postulate, kept the flawed relation, and modified the waves into train waves, pilot waves, probability waves, … to name a few. We keep the de Broglie waves unchanged, and modify the relation. First, we observe that the Planck energy E h used by de Broglie defines virtual electromagnetic waves. Consequently, for any particle, the virtual electromagnetic wavelength is / /c h mc , and / /h m c . Refinement of de Broglie argument, indicates that /h mmay be x , Heisenberg’s uncertainty in the particle location. de Broglie’s later analysis supports this interpretation, and we offer an explanation to particle diffraction as a consequence of Heisenberg’s uncertainty. We apply / /h m c to obtain the dispersion relations for the de Broglie virtual waves.