A formal framework for the study of the notion of undefined particle number in quantum mechanics

dc.creatorda Costa, Newton C. A.
dc.creatorHolik, Federico Hernán
dc.date.accessioned2020-03-18T16:26:34Z
dc.date.accessioned2022-10-15T03:32:00Z
dc.date.available2020-03-18T16:26:34Z
dc.date.available2022-10-15T03:32:00Z
dc.date.created2020-03-18T16:26:34Z
dc.date.issued2015-01
dc.identifierda Costa, Newton C. A.; Holik, Federico Hernán; A formal framework for the study of the notion of undefined particle number in quantum mechanics; Springer; Synthese (Dordrecht); 192; 2; 1-2015; 505-523
dc.identifier0039-7857
dc.identifierhttp://hdl.handle.net/11336/100048
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4340407
dc.description.abstractIt is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of solving a problem posed by Y. Manin, namely, to incorporate quantum mechanical notions at the foundations of mathematics. We also show that our system is capable of representing quantum superpositions.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s11229-014-0583-2
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11229-014-0583-2
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectQUANTUM INDISTINGUISHABILITY
dc.subjectQUANTUM MEREOLOGY
dc.subjectQUANTUM SUPERPOSITIONS
dc.subjectSET THEORY
dc.subjectUNDEFINED PARTICLE NUMBER
dc.titleA formal framework for the study of the notion of undefined particle number in quantum mechanics
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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