25 citations · 142 across the 14 of their papers we have counts for
14 papers
Classical-quantum correspondence and wave packet solutions of the Dirac equation in a curved spacetime
Mayeul Arminjon, Frank Reifler
The idea of wave mechanics leads naturally to assume the well-known relation in the specific form , where is the classical Hamiltonian of a particle and…
Equivalent forms of Dirac equations in curved spacetimes and generalized de Broglie relations
Mayeul Arminjon, Frank Reifler
One may ask whether the relations between energy and frequency and between momentum and wave vector, introduced for matter waves by de Broglie, are rigorously valid in the presence…
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…