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.

Date Published: 1 October 2013
PDF: 15 pages
Proc. SPIE 8832, The Nature of Light: What are Photons? V, 88321B (1 October 2013); doi: 10.1117/12.2023843

Published in SPIE Proceedings Vol. 8832:
The Nature of Light: What are Photons? V
Chandrasekhar Roychoudhuri; Al F. Kracklauer; Hans De Raedt, Editor(s)