A modal-Hamiltonian interpretation of quantum mechanics

Lombardi, Olímpia; Castagnino, Mario

doi:10.1016/j.shpsb.2008.01.003

Cited by 68 publications

(66 citation statements)

References 68 publications

(65 reference statements)

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“…In our modal-Hamiltonian interpretation (see [1,2]), the Galilean group plays a relevant role in endowing the formal structure of quantum mechanics with a physical content. In this context, the study of the space-time symmetry transformations serves a dual purpose: the identification of the fundamental physical magnitudes of the theory and the explanation of the central role played by the Hamiltonian in the selection of the constants of motion of the quantum system.…”

Section: Introductionmentioning

confidence: 99%

Quantum Mechanics: Modal Interpretation and Galilean Transformations

2009

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The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role played by the Casimir operators of the Galilean group in the interpretation.

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Section: Introductionmentioning

confidence: 99%

Quantum Mechanics: Modal Interpretation and Galilean Transformations

2009

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“…Among them, we are interested in the selfinduced decoherence approach, developed from the physical and philosophical point of view in several papers (Castagnino and Lombardi 2003, 2005, 2007Castagnino 2004;Castagnino and Ordóñez 2004;Lombardi and Castagnino 2008;Castagnino and Fortin 2011a). …”

Section: Observables and Quantum Decoherencementioning

confidence: 99%

Classical Limit and Quantum Logic

2017

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The more common scheme to explain the classical limit of quantum mechanics includes decoherence, which removes from the state the interference terms classically inadmissible since embodying non-Booleanity. In this work we consider the classical limit from a logical viewpoint, as a quantum-to-Boolean transition. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.

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“…Interpretation (Lombardi and Castagnino 2008) seems particularly suitable for this purpose, because its selects the Hamiltonian as the observable that always acquires a definite value and that governs the selection of the remaining definite-valued observables of the system. This interpretation, besides being compatible with the EID program (Lombardi, Fortin, Castagnino and Ardenghi 2011), is in perfect resonance with molecular chemistry, in the context of which molecules are almost always described in their stationary states, that is, in eigenstates of the Hamiltonian.…”

Section: -Conclusionmentioning

confidence: 99%