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Relativistic extension of the Schrödinger equation no longer requiring the “Dirac sea”

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A new, relativistic quantum wave equation is obtained by applying the quantum prescriptions to the kinetic energy and momentum instead of the total energy and momentum. This provides the Schrödinger equation with a relativistic extension that modifies the Klein-Gordon and Dirac equations. The wave functions for the modified Klein-Gordon equation are shown to allow the probabilistic interpretation. For a resting particle, the modified Dirac equation gives a true vacuum state in addition to the wave solutions, no longer requiring the “Dirac Sea.”
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Keywords: Dirac; Klein-Gordon;; Quantum;; Relativistic;; Schrödinger;

Document Type: Research Article

Publication date: December 14, 2018

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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