H. Weber, “Notes on Differential Equations by Riemann,” In: Riemann and G. F. Berhard, Eds., Die Partiellen Differential-Gleichungen der Mathematischen Physik Nach Riemann’s Vorlesungen, Friedrich Vieweg und Sohn, Bruns- wick, 1901, p. 348.

has been cited by the following article:

• TITLE: The Photon Wave Function

  AUTHORS: Joseph Cugnon

  KEYWORDS: Photon, Wave Function, Quantum Mechanics, Lorentz Invariance

  JOURNAL NAME: Open Journal of Microphysics, Vol.1 No.3, November 25, 2011

  ABSTRACT: The properties of a wave equation for a six-component wave function of a photon are re-analyzed. It is shown that the wave equation presents all the properties required by quantum mechanics, except for the ones that are linked with the definition of the position operator. The situation is contrasted with the three-component formulation based on the Riemann-Silberstein wave function. The inconsistency of the latter with the principles of quantum mechanics is shown to arise from the usual interpretation of the wave function. Finally, the Lorentz invariance of the six-component wave equation is demonstrated explicitly for Lorentz boosts and space inversion.