Dirac-type equations in a gravitational field, with vector wave function
| dc.creator | Arminjon, Mayeul | |
| dc.date | 2007-02-08 | |
| dc.date | 2008-10-14 | |
| dc.date.accessioned | 2026-07-07T12:16:46Z | |
| dc.date.available | 2026-07-07T12:16:46Z | |
| dc.description | An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of these two equations is generally-covariant, transforms the wave function as a four-vector, and differs from the Fock-Weyl gravitational Dirac equation (DFW equation). One obeys the equivalence principle in an often-accepted sense, whereas the DFW equation obeys that principle only in an extended sense. | |
| dc.description | 35 pages. Version accepted for publication in Foundations of Physics. Title changed. Introduction expanded: detailed discussion of i) the vector Dirac wave function and ii) the status of the equivalence principle, main section (Sect. 2) improved by introducing the specific connection earlier (see Theorem 1), and other improvements accounting for the referees' remarks | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0702048 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0702048 | |
| dc.identifier | Found.Phys.38:1020-1045,2008 | |
| dc.identifier | doi:10.1007/s10701-008-9249-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211905 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Dirac-type equations in a gravitational field, with vector wave function | |
| dc.type | text |