Abstract
We have shown that the quantum Telegraph equation (QTE) is a quantum equation for the description of quantum phenomena. It inherently embodies the wave-particle duality hypothesized by de Broglie. In Bohmian format, the wavefunction is found to be consisting of two interacting subfields satisfying the Telegraph equation but with variable mass. The Dirac equation can be derived from the QTE by employing complex transformations of space and time, or by complex mass only. It reduces to the diffusion equation of a quantum particle. Analogy with electrodynamics shows that the photon acquires a mass when traveling inside a conducting medium that is proportional to its electric conductivity. The QTE is found to be equivalent to the Schrodinger equation with a negative imaginary constant potential reflecting the inertia that the matter wave experiences. (C) 2017 Elsevier GmbH. All rights reserved.