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.

Index Terms—Causality, quantum mechanics, special and general relativity, unified field theory.

Ilija Barukčić is with Horandstrasse, Jever, Germany (e-mail: Barukcic@t-online.de).

Cite: Ilija Barukčić, "The Relativistic Wave Equation," International Journal of Applied Physics and Mathematics vol. 3, no. 6, pp. 387-391, 2013.