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Quantum Logical Structures For Identical Particles

Holik, Federico and Decio , Krause and Ignacio, Gómez (2012) Quantum Logical Structures For Identical Particles. [Preprint]


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In this work we discuss logical structures related to indistinguishable particles. Most of the framework used to develop these structures was presented in [17, 28] and in [20, 14, 15, 16]. We use these structures and constructions to discuss possible ontologies for identical particles. In other words, we use these structures in order to characterize the logical structure of quantum systems for the case of indistinguishable particles, and draw possible philosophical implications. We also review some proposals available in the literature which may be considered within the framework of the quantum logical tradition regarding the problem of indistinguishability. Besides these discussions and constructions, we advance novel technical results, namely, a lattice theoretical structure for identical particles for the finite dimensional case. This kind of approach was not present in the scarcely literature of quantum logic and indistinguishable particles.

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Item Type: Preprint
Decio ,
Ignacio, Gó
Keywords: quantum logic-convex sets-indistinguishable particles
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Federico Holik
Date Deposited: 23 May 2013 13:50
Last Modified: 23 May 2013 13:50
Item ID: 9781
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 22 May 2012

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