Inadequacies in De Broglie's Theory: rectifications, verifications, and applications

Himanshu Chauhan; R. K. Sinha

doi:10.1117/12.2023843

1 October 2013 Inadequacies in De Broglie's Theory: rectifications, verifications, and applications

Himanshu Chauhan, R. K. Sinha

Proceedings Volume 8832, The Nature of Light: What are Photons? V; 88321B (2013) https://doi.org/10.1117/12.2023843
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

The proposed paper calls attention towards the unobserved mathematical and conceptual inadequacies persisting in the wave-particle duality and matter wave’s concepts, given by Louis de Broglie. Matter wave’s frequency and phase velocity expressions, shown to be inappropriate, are the consequences of these inadequate concepts. The rectifications in these concepts are presented through the corrected implementation of analogy between light waves and matter waves and thus modified frequency and phase velocity expressions are introduced. The proposed expressions are free from all the inadequacies and negations, contrary to that confronted by de Broglie’s proposed expressions. Mathematical proofs for the proposed modified frequency and phase velocity expression are also presented. A novel General Quantum Mechanical Wave Equation is proposed involving the modified phase velocity expression, which itself can precisely derive out Schrodinger’s and Dirac’s Equation.

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Himanshu Chauhan and R. K. Sinha "Inadequacies in De Broglie's Theory: rectifications, verifications, and applications", Proc. SPIE 8832, The Nature of Light: What are Photons? V, 88321B (1 October 2013); https://doi.org/10.1117/12.2023843

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KEYWORDS

Phase velocity

Photons

Wave propagation

Particles

Relativity

Communication engineering

Fiber optic communications

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