Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-30
Phys.Rev.D76:084009,2007
Physics
High Energy Physics
High Energy Physics - Theory
New materials on gravitationally-induced quantum interferences has been added
Scientific paper
10.1103/PhysRevD.76.084009
The phenomenology of quantum systems in curved space-times is among the most fascinating fields of physics, allowing --often at the gedankenexperiment level-- constraints on tentative theories of quantum gravity. Determining the dynamics of fields in curved backgrounds remains however a complicated task because of the highly intricate partial differential equations involved, especially when the space metric exhibits no symmetry. In this article, we provide --in a pedagogical way-- a general formalism to determine this dynamics at the semiclassical order. To this purpose, a generic expression for the semiclassical propagator is computed and the equation of motion for the probability four-current is derived. Those results underline a direct analogy between the computation of the propagator in general relativistic quantum mechanics and the computation of the propagator for stationary systems in non-relativistic quantum mechanics. A possible application of this formalism to curvature-induced quantum interferences is also discussed.
Barrau Aurelien
Grain Julien
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