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

Newton, da Costa and Federico, Holik (2013) A formal framework for the study of the notion of undefined particle number in quantum mechanics. [Preprint]

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Abstract

It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position -supported by E. Schrodinger- 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.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Newton, da Costancacosta@terra.com.br
Federico, Holikolentiev2@gmail.com
Keywords: set theory, undefined particle number
Subjects: Specific Sciences > Mathematics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Federico Holik
Date Deposited: 23 May 2013 13:48
Last Modified: 23 May 2013 13:48
Item ID: 9782
Subjects: Specific Sciences > Mathematics
Specific Sciences > Physics > Quantum Mechanics
Date: April 2013
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/9782

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