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:	Creators Email ORCID Newton, da Costa ncacosta@terra.com.br Federico, Holik olentiev2@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.pitt.edu/id/eprint/9782

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