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.<br /> 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.<br /> 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.