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QUANTUM LOGICAL STRUCTURES FOR SIMILAR PARTICLES

FEDERICO HOLIK, IGNACIO GOMEZ, DÉCIO KRAUSE

Autor
FEDERICO HOLIK, IGNACIO GOMEZ, DÉCIO KRAUSE
Revista
Cadernos de História e Filosofia da Ciência
Edição
2 / 1
Ano
2018
Páginas
46
Idioma
pt
2018FEDERICO HOLIK, IGNACIO GOMEZ, DÉCIO KRAUSE. QUANTUM LOGICAL STRUCTURES FOR SIMILAR PARTICLES . Cadernos de História e Filosofia da Ciência, v. 2, n. 1, p. 46, 2018.1

In this work we discuss logical structures related to indistinguishable (or similar) particles. Most of the framework used to develop these structures was presented in previous works. 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 similar 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 approach has not been present in the scarce literature on quantum logic and similar particles.