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A New Argument for the Nomological Interpretation of the Wave Function: The Galilean Group and the Classical Limit of Nonrelativistic Quantum Mechanics.

Allori, Valia (2017) A New Argument for the Nomological Interpretation of the Wave Function: The Galilean Group and the Classical Limit of Nonrelativistic Quantum Mechanics. [Preprint]

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Abstract

In this paper I investigate, within the framework of realistic interpretations of the wave function in
nonrelativistic quantum mechanics, the mathematical and physical nature of the wave function. I argue against the view that mathematically the wave function is a two-component scalar field on configuration space. First, I review how this view makes quantum mechanics non- Galilei invariant and yields the wrong classical limit. Moreover, I argue that interpreting the wave function as a ray, in agreement many physicists, Galilei invariance is preserved. In addition, I discuss how the wave function behaves more similarly to a gauge potential than to a field. Finally I show how this favors a nomological rather than an ontological view of the wave function.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Allori, Valiavallori@niu.edu0000-0002-8144-8549
Keywords: wave function realism, nomological view of the wave function, gauge potentials, projective rays, Galilei invariance, Galilei group
Subjects: General Issues > Scientific Metaphysics
General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr Valia Allori
Date Deposited: 11 Oct 2017 18:20
Last Modified: 11 Oct 2017 18:20
Item ID: 14023
Subjects: General Issues > Scientific Metaphysics
General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Date: October 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14023

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