Multiple-event probability in general-relativistic quantum mechanics. II. A discrete model

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.064005· OSTI ID:21027772

Mondragon, Mauricio; Perez, Alejandro; Rovelli, Carlo ^[1]

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1. Centre de Physique Theorique de Luminy, Universite de la Mediterranee, F-13288 Marseille (France)

We introduce a simple quantum mechanical model in which time and space are discrete and periodic. These features avoid the complications related to continuous-spectrum operators and infinite-norm states. The model provides a tool for discussing the probabilistic interpretation of generally covariant quantum systems, without the confusion generated by spurious infinities. We use the model to illustrate the formalism of general-relativistic quantum mechanics, and to test the definition of multiple-event probability introduced in a companion paper [Phys. Rev. D 75, 084033 (2007)]. We consider a version of the model with unitary time evolution and a version without unitary time evolution.

• OSTI ID: 21027772
• Journal Information: Physical Review. D, Particles Fields, Vol. 76, Issue 6; Other Information: DOI: 10.1103/PhysRevD.76.064005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PERIODICITY
PROBABILISTIC ESTIMATION
PROBABILITY
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RELATIVISTIC RANGE
TIME DEPENDENCE
UNITARITY