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Journal of Zunyi Normal College

The Wavelength and Frequency of de Broglie Wave in Quantum Mechanics

Gao Qin

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Through the analysis of the significance of energy and momentum in the de Broglie relations, some problems in calculating the wavelength and frequency of de Broglie wave have been cleared.

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A Discussion on Wave-particle Dualism from the Length and Frequency of de Broglie Wave

Xiang Qun

By inference,this paper expounds that the relation of de Broglie wave's speed,length and frequency differs from that of classical waves such as mechanical wave and electromagnenic wave,and its wavelength and frequency do not have the physical meanings described by the classical theory.The reason is that de Broglie wave is not a simple representation of the classical wave,and the meanings of particle and volatility are special in wave-particle dualism.

Journal of Sichuan College of Education•Jan 1, 2011•0 citations

7.1 - The de Broglie Wavelength

Paul A. Heiney

Introduction to using massive particles (electrons, neutrons) for diffraction. The de Broglie relation relates the momentum of a particle to its wavelength. Time 3:46.

•Jan 1, 2016•0 citations

Wave Mechanics

Keith Hannabuss

Abstract According to Planck and Einstein the energy and frequency of light are related by E = ђw. De Broglie observed that to be consistent with the theory of relativity the momentum p of a wave should be ђk where k is the wave vector of magnitude 2π /wavelength, perpendicular to the wave front. (This is because the special theory of relativity combines E and p and also ω and k into four-dimensional vectors, and linear relations between particular components force the same relations for all other components as well. This is explained in more detail in Section 17.1, which is independent of the rest of the book.)

•Mar 20, 1997•0 citations

Theory of Matter Wave Excitation by Virtual Photons

Zhiguo Zhang

To address the theoretical gap in traditional de Broglie wave theory that fails to clarify the physical excitation mechanism of matter waves, this paper proposes the de Broglie Wave-Virtual Photon Exchange Synchronization Law and reveals the intrinsic physical origin of de Broglie matter waves from the perspective of virtual photon exchange. Based on well-recognized physical formulas including the de Broglie energy-frequency relation, the relativistic energy-momentum relation, and the core equations of quantum electrodynamics (QED), this paper carries out rigorous quantitative derivation and obtains the de Broglie Wave-Virtual Photon Exchange Synchronization Formula , which describes the relation between virtual photon exchange and the evolution of de Broglie waves. Physical analysis of the formula shows that the de Broglie matter wave is not an intrinsic and spontaneous property of particles, but a dynamic wave effect directly excited by momentum exchange between virtual photons and particles in electromagnetic interaction. The frequency, wavelength, and wave properties of the de Broglie wave are uniquely determined by the intensity and frequency of virtual photon exchange, and the two sets of physical quantities maintain strict synchronization during physical evolution. In addition, this paper clarifies the velocity-dependent modulation effect of virtual photon exchange on de Broglie waves: the modulation effect is weak at low velocities, becomes significant at high velocities, and the key wave parameters (frequency, momentum correlation) of de Broglie waves and virtual photons achieve quantitative unification as the particle velocity approaches the speed of light. This theory establishes a rigorous, quantitative, and unified relation between the virtual photon exchange mechanism and the origin of de Broglie waves, improves the physical interpretation of matter wave origin, and provides a new theoretical perspective for the study of wave-particle duality and electromagnetic interaction of microscopic particles.

•Mar 27, 2026•0 citations

A Geometric Interpretation of the de Broglie Wavelength

Jean Louis Van Belle

While the de Broglie wavelength pops up in various fundamental quantun-mechanical equations, a solid geometric interpretation of it has so far evaded us. This paper (part of an upcoming) book may help to crack the nut.

•Feb 1, 2019•0 citations

Core Law: de Broglie Wave-Virtual Photon Exchange Synchronization Law

Zhiguo Zhang

Aiming at the theoretical gap in the traditional de Broglie wave theory that fails to clarify the physical excitation mechanism of matter waves, this paper proposes the de Broglie Wave-Virtual Photon Exchange Synchronization Law, and reveals the intrinsic physical origin of de Broglie matter waves from the perspective of virtual photon exchange. Based on the well-recognized physical formulas including the de Broglie energy-frequency relation, the relativistic energy-momentum relation and the core equations of quantum electrodynamics (QED), this paper conducts strict quantitative deduction and derives the de Broglie Wave-Virtual Photon Exchange Synchronization Formulathat characterizes the correlation between virtual photon exchange and the variation of de Broglie waves. Through physical analysis of the formula, it is concluded that the de Broglie matter wave is not an intrinsic and spontaneous property of particles, but a dynamic wave effect directly excited by the momentum exchange between virtual photons and particles in electromagnetic interaction. The frequency, wavelength and wave characteristics of the de Broglie wave are uniquely determined by the intensity and exchange frequency of virtual photon exchange, and the two physical quantities maintain strict synchronization in the process of physical evolution. In addition, this paper clarifies the velocity-dependent modulation effect of virtual photon exchange on de Broglie waves: the modulation effect is weak at low velocities, strengthens significantly at high velocities, and the key wave characteristic parameters (frequency, momentum correlation) of de Broglie waves and virtual photons achieve quantitative unification when the particle velocity approaches the speed of light. This theory establishes a strict, quantitative and unified correlation between the virtual photon exchange mechanism and the origin of de Broglie waves, perfects the physical interpretation of the origin of matter waves, and provides a new theoretical perspective for the study of wave-particle duality and the electromagnetic interaction of microscopic particles.

•Mar 12, 2026•0 citations
Abstract According to Planck and Einstein the energy and frequency of light are related by E = ђw. De Broglie observed that to be consistent with the theory of relativity the momentum p of a wave should be ђk where k is the wave vector of magnitude 2π /wavelength, perpendicular to the wave front. (This is because the special theory of relativity combines E and p and also ω and k into four-dimensional vectors, and linear relations between particular components force the same relations for all other components as well. This is explained in more detail in Section 17.1, which is independent of the rest of the book.)
To address the theoretical gap in traditional de Broglie wave theory that fails to clarify the physical excitation mechanism of matter waves, this paper proposes the de Broglie Wave-Virtual Photon Exchange Synchronization Law and reveals the intrinsic physical origin of de Broglie matter waves from the perspective of virtual photon exchange. Based on well-recognized physical formulas including the de Broglie energy-frequency relation, the relativistic energy-momentum relation, and the core equations of quantum electrodynamics (QED), this paper carries out rigorous quantitative derivation and obtains the de Broglie Wave-Virtual Photon Exchange Synchronization Formula , which describes the relation between virtual photon exchange and the evolution of de Broglie waves. Physical analysis of the formula shows that the de Broglie matter wave is not an intrinsic and spontaneous property of particles, but a dynamic wave effect directly excited by momentum exchange between virtual photons and particles in electromagnetic interaction. The frequency, wavelength, and wave properties of the de Broglie wave are uniquely determined by the intensity and frequency of virtual photon exchange, and the two sets of physical quantities maintain strict synchronization during physical evolution. In addition, this paper clarifies the velocity-dependent modulation effect of virtual photon exchange on de Broglie waves: the modulation effect is weak at low velocities, becomes significant at high velocities, and the key wave parameters (frequency, momentum correlation) of de Broglie waves and virtual photons achieve quantitative unification as the particle velocity approaches the speed of light. This theory establishes a rigorous, quantitative, and unified relation between the virtual photon exchange mechanism and the origin of de Broglie waves, improves the physical interpretation of matter wave origin, and provides a new theoretical perspective for the study of wave-particle duality and electromagnetic interaction of microscopic particles.
Aiming at the theoretical gap in the traditional de Broglie wave theory that fails to clarify the physical excitation mechanism of matter waves, this paper proposes the de Broglie Wave-Virtual Photon Exchange Synchronization Law, and reveals the intrinsic physical origin of de Broglie matter waves from the perspective of virtual photon exchange. Based on the well-recognized physical formulas including the de Broglie energy-frequency relation, the relativistic energy-momentum relation and the core equations of quantum electrodynamics (QED), this paper conducts strict quantitative deduction and derives the de Broglie Wave-Virtual Photon Exchange Synchronization Formulathat characterizes the correlation between virtual photon exchange and the variation of de Broglie waves. Through physical analysis of the formula, it is concluded that the de Broglie matter wave is not an intrinsic and spontaneous property of particles, but a dynamic wave effect directly excited by the momentum exchange between virtual photons and particles in electromagnetic interaction. The frequency, wavelength and wave characteristics of the de Broglie wave are uniquely determined by the intensity and exchange frequency of virtual photon exchange, and the two physical quantities maintain strict synchronization in the process of physical evolution. In addition, this paper clarifies the velocity-dependent modulation effect of virtual photon exchange on de Broglie waves: the modulation effect is weak at low velocities, strengthens significantly at high velocities, and the key wave characteristic parameters (frequency, momentum correlation) of de Broglie waves and virtual photons achieve quantitative unification when the particle velocity approaches the speed of light. This theory establishes a strict, quantitative and unified correlation between the virtual photon exchange mechanism and the origin of de Broglie waves, perfects the physical interpretation of the origin of matter waves, and provides a new theoretical perspective for the study of wave-particle duality and the electromagnetic interaction of microscopic particles.