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The classical limit as an approximation

Feintzeig, Benjamin (2018) The classical limit as an approximation. [Preprint]

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Abstract

I argue that it is possible to give an interpretation of the classical $\hbar\rightarrow 0$ limit of quantum mechanics that results in a partial explanation of the success of classical mechanics. The interpretation is novel in that it allows one to explain the success of the theoretical structure of classical mechanics. This interpretation clarifies the relationship between physical quantities and propositions in quantum theories, and provides a precise notion of a quantum theory holding ``approximately on certain scales".


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Feintzeig, Benjaminbfeintze@uw.edu
Keywords: classical limit, approximation, deformation quantization, reduction
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Depositing User: Benjamin Feintzeig
Date Deposited: 23 Aug 2019 13:57
Last Modified: 23 Aug 2019 13:57
Item ID: 16359
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Date: 2018
URI: https://philsci-archive.pitt.edu/id/eprint/16359

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