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The Relativistic Wave Equation

Authors: Barukčić, Ilija;

The Relativistic Wave Equation

Abstract

Abstract—In general, it is well known that the Schrödinger equation is not compatible with special relativity theory to a necessary extent. Thus far, there are already several trials to formulate versions of the Schrödinger equation to ensure compatibility with special relativity theory, the Klein-Gordon-equation or the Dirac equation are some of these attempts. Material and Methods: In this paper, Einstein’s relativistic energy momentum relation is re-analyzed, a normalized relativistic energy momentum relation is derived. The derived normalized relativistic energy momentum relation together with the known Schrödinger equation is used as a starting point to establish a wave equation consistent with special relativity theory. Results: In this publication, based on Einstein’s relativistic energy momentum relation, the historical problem of the “particle-wave-duality” is solved. Furthermore, a special relativity theory consistent wave equation is derived.

Keywords

Barukčić, Normalized energy momentum relation, Relativistic wave equation, Energy-momentum relation, Quantum mechanics, Relativistic kinetic energy, Causality, Unified field theory., Wave equation, Special and general relativity, Vis viva, Barukcic, Leibniz

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citations
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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