2 papers
math-ph2026
An Elementary Perspective on the Dirac Equation and its Closest Relatives
Rainer Picard, Sascha Trostorff, Marcus Waurick
We consider the Dirac equation in a real setting to show its close relationship to Maxwell's equation. In addition to analysing the classical Dirac mass term, we also inspect the a…
math.FA2024
Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes
Dirk Pauly, Rainer Picard
In this short note we show that Hilbert complexes are strongly related to what we shall call annihilating sets of skew-selfadjoint operators. This provides for a new perspective on…