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Transport Properties of the Universal Quantum Equation |
| A. I. Arbab* |
Department of Physics, Faculty of Science, University of Khartoum, PO Box 321, Khartoum 11115, Sudan
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A. I. Arbab 2012 Chin. Phys. Lett. 29 030304 |
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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.
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| Keywords:
03.65.-w
03.65.Ge
05.60.Gg
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Received: 20 October 2011
Published: 11 March 2012
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[15] Arbab A I and Widatallah H M 2010 Europhys. Lett. 92 23002
[16] Arbab A I and Yassein F A 2010 arXiv:1003.0073[physics.gen-ph]
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