25 citations · 365 across the 73 of their papers we have counts for
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Four-vector vs. four-scalar representation of the Dirac wave function
Mayeul Arminjon, Frank Reifler
In a Minkowski spacetime, one may transform the Dirac wave function under the spin group, as one transforms coordinates under the Poincaré group. This is not an option in a curved…
Representations of the Dirac wave function in a curved spacetime
Mayeul Arminjon, Frank Reifler
The Dirac wave function in a curved spacetime is usually defined as a quadruplet of scalar fields. It can alternatively be defined as a four-vector field. We describe these two rep…
General reference frames and their associated space manifolds
Mayeul Arminjon, Frank Reifler
We propose a formal definition of a general reference frame in a general spacetime, as an equivalence class of charts. This formal definition corresponds with the notion of a refer…
Non-uniqueness of the Dirac theory in a curved spacetime
Mayeul Arminjon, Frank Reifler
We summarize a recent work on the subject title. The Dirac equation in a curved spacetime depends on a field of coefficients (essentially the Dirac matrices), for which a continuum…