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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.
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
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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