摘要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.
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.
A. I. Arbab*. Transport Properties of the Universal Quantum Equation[J]. 中国物理快报, 2012, 29(3): 30304-030304.
A. I. Arbab. Transport Properties of the Universal Quantum Equation. Chin. Phys. Lett., 2012, 29(3): 30304-030304.
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