169 citations
- Centre National de la Recherche ScientifiqueFR46 papers
- Université Grenoble AlpesFR24 papers
- Institut polytechnique de GrenobleFR22 papers
- Université Joseph FourierFR20 papers
- Laboratoire des Écoulements Géophysiques et IndustrielsFR6 papers
- Physique et Mécanique des Milieux HétérogènesFR5 papers
- ESPCI ParisFR3 papers
- Federal Center for Technological Education of Minas GeraisBR3 papers
- Institut des Sciences de la TerreFR3 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR2 papers
- Georges Friedel LaboratoryFR2 papers
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32 papers · 1 filter
On the definition of energy for a continuum, its conservation laws, and the energy-momentum tensor
Mayeul Arminjon
We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous…
On the Hamiltonian and energy operators in a curved spacetime, especially for a Dirac particle
Mayeul Arminjon
The definition of the Hamiltonian operator H for a general wave equa-tion in a general spacetime is discussed. We recall that H depends on the coordinate system merely through the…
On reference frames and the definition of space in a general spacetime
Mayeul Arminjon
First, we review local concepts defined previously. A (local) reference frame can be defined as an equivalence class of admissible spacetime charts (coordinate systems…
On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling
Mayeul Arminjon
Gorbatenko & Neznamov [arXiv:1301.7599] recently claimed the absence of the title problem. In this paper, the reason for that problem is reexplained by using the notions of a unita…
Should there be a spin-rotation coupling for a Dirac particle?
Mayeul Arminjon
It was argued by Mashhoon that a spin-rotation coupling term should add to the Hamiltonian operator in a rotating frame, as compared with the one in an inertial frame. For a Dirac…
Summary of a non-uniqueness problem of the covariant Dirac theory and of two solutions of it
Mayeul Arminjon
We present a summary of: 1) the non-uniqueness problem of the Hamiltonian and energy operators associated, in any given coordinate system, with the generally-covariant Dirac equati…