Theoretical Proof of De Broglie’s Wave Function

Sheng Qin

doi:10.20944/preprints202407.1504.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 18 July 2024 / Approved: 18 July 2024 / Online: 18 July 2024 (23:43:41 CEST)

This paper, based on the "Unified Theory of Forces," rigorously proves the formula of de Broglie's wave function. This helps us better understand the following important issues: 1) Theoretically prove and understand the essence of de Broglie's wave function; 2) Prove that when the particle's momentum P is determined, the greater the mass of the particle, the more concentrated its wave function distribution, and the weaker the interference effect; 3) Correct the spatial distribution of the wave function of free particles, proving that the wave function of free particles is strictly constrained within a finite spatial range, which is consistent with the facts we observe.

de Broglie Wave Function; Matter Wave Function; Free Particle Wave Function; Spatial Distribution of Wave Function

Physical Sciences, Theoretical Physics

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Theoretical Proof of De Broglie’s Wave Function

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