A discussion on particle number and quantum indistinguishability

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The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, an...

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Autores principales: Domenech, Graciela, Holik, Federico Hernán
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Física
Quasi sets
Quantum-indistinguishability
Quantum-logic
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104132
http://hdl.handle.net/11336/22000
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-104132
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quasi sets
Quantum-indistinguishability
Quantum-logic
spellingShingle Física
Quasi sets
Quantum-indistinguishability
Quantum-logic
Domenech, Graciela
Holik, Federico Hernán
A discussion on particle number and quantum indistinguishability
topic_facet Física
Quasi sets
Quantum-indistinguishability
Quantum-logic
description The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, and therefore, quantum indistinguishability is not incorporated in the theory from the beginning. Nevertheless, it is possible to represent the idea of quantum indistinguishability with a first-order language using quasiset theory (Q). In this work, we show that Q cannot capture one of the most important features of quantum non-individuality, which is the fact that there are quantum systems for which particle number is not well defined. An axiomatic variant of Q, in which quasicardinal is not a primitive concept (for a kind of quasisets called finite quasisets), is also given. This result encourages the searching of theories in which the quasicardinal, being a secondary concept, stands undefined for some quasisets, besides showing explicitly that in a set theory about collections of truly indistinguishable entities, the quasicardinal needs not necessarily be a primitive concept.
format Articulo
Preprint
author Domenech, Graciela
Holik, Federico Hernán
author_facet Domenech, Graciela
Holik, Federico Hernán
author_sort Domenech, Graciela
title A discussion on particle number and quantum indistinguishability
title_short A discussion on particle number and quantum indistinguishability
title_full A discussion on particle number and quantum indistinguishability
title_fullStr A discussion on particle number and quantum indistinguishability
title_full_unstemmed A discussion on particle number and quantum indistinguishability
title_sort discussion on particle number and quantum indistinguishability
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/104132
http://hdl.handle.net/11336/22000
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AT domenechgraciela discussiononparticlenumberandquantumindistinguishability
AT holikfedericohernan discussiononparticlenumberandquantumindistinguishability
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