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dc.contributor.author
da Costa, Newton C. A.  
dc.contributor.author
Holik, Federico Hernán  
dc.date.available
2020-03-18T16:26:34Z  
dc.date.issued
2015-01  
dc.identifier.citation
da 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.identifier.issn
0039-7857  
dc.identifier.uri
http://hdl.handle.net/11336/100048  
dc.description.abstract
It 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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
QUANTUM INDISTINGUISHABILITY  
dc.subject
QUANTUM MEREOLOGY  
dc.subject
QUANTUM SUPERPOSITIONS  
dc.subject
SET THEORY  
dc.subject
UNDEFINED PARTICLE NUMBER  
dc.subject.classification
Otras Ciencias Físicas  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A formal framework for the study of the notion of undefined particle number in quantum mechanics  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-16T14:06:50Z  
dc.journal.volume
192  
dc.journal.number
2  
dc.journal.pagination
505-523  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: da Costa, Newton C. A.. Universidade Federal de Santa Catarina; Brasil  
dc.description.fil
Fil: Holik, Federico Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Vrije Unviversiteit Brussel; Bélgica  
dc.journal.title
Synthese (Dordrecht)  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s11229-014-0583-2  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11229-014-0583-2  

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