University of Khartoum

Transport Properties of the Universal Quantum Equation

Transport Properties of the Universal Quantum Equation

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Title: Transport Properties of the Universal Quantum Equation
Author: Arbab, Arbab I.
Abstract: The universal quantum equation (UQE) is found to describe the transport properties of the quantum particles. This equation describes a wave equation interacting with constant scalar and vector potentials propagating in spacetime. A new transformation that sends the Schrödinger equation with a potential energy 𝑉 = −1 2𝑚𝑐2 to Dirac’s equation is proposed. The Cattaneo telegraph equation as well as a one-dimensional UQE are compatible with our recently proposed generalized continuity equations. Furthermore, a new wave equation resulted from the invariance of the UQE under the post-Galilean transformations is derived. This equation is found to govern a Klein–Gordon’s particle interacting with a photon-like vector field (ether) whose magnitude is proportional to the particle’s mass.
URI: http://khartoumspace.uofk.edu/handle/123456789/17554
Date: 2015-12-13


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