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Physics Research International
Volume 2011 (2011), Article ID 379604, 10 pages
Research Article

The Modal-Hamiltonian Interpretation of Quantum Mechanics as a Kind of “Atomic” Interpretation

1CONICET-Instituto de Astronomía y Física del Espacio, Ciudad Universitaria, CP 1429, Buenos Aires, Argentina
2CONICET-Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, CP 1429, Buenos Aires, Argentina

Received 6 May 2011; Accepted 5 August 2011

Academic Editor: Weitao Yang

Copyright © 2011 Juan Sebastián Ardenghi and Olimpia Lombardi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Modal interpretations are non-collapse interpretations, where the quantum state of a system describes its possible properties rather than the properties that it actually possesses. Among them, the atomic modal interpretation (AMI) assumes the existence of a special set of disjoint systems that fixes the preferred factorization of the Hilbert space. The aim of this paper is to analyze the relationship between the AMI and our recently presented modal-hamiltonian interpretation (MHI), by showing that the MHI can be viewed as a kind of “atomic” interpretation in two different senses. On the one hand, the MHI provides a precise criterion for the preferred factorization of the Hilbert space into factors representing elemental systems. On the other hand, the MHI identifies the atomic systems that represent elemental particles on the basis of the Galilei group. Finally, we will show that the MHI also introduces a decomposition of the Hilbert space of any elemental system, which determines with precision what observables acquire definite actual values.