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Why the global phase is not real

Gao, Shan (2024) Why the global phase is not real. Foundations of Physics, 54 (19). ISSN 1572-9516

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Abstract

In this paper, I present a new analysis of the meaning of the phase in quantum mechanics. First, I give a simple but rigorous proof that the global phase is not real in psi-ontic quantum theories. Next, I argue that a similar strategy cannot be used to prove the reality of the global phase due to the existence of the tails of the wave function. Finally, I argue that the relative phase is not a nonlocal property of two regions together, and adding a relative phase to one local branch of a superposition only changes the local properties at the boundary of the region of the branch.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Gao, Shansgao7319@uni.sydney.edu.au
Keywords: quantum mechanics; global phase; psi-ontic theorems; tails of the wave function; relative phase
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
General Issues > Theory/Observation
Depositing User: Prof. Shan Gao
Date Deposited: 22 Apr 2024 22:56
Last Modified: 22 Apr 2024 22:56
Item ID: 23309
Journal or Publication Title: Foundations of Physics
Publisher: Springer
Official URL: https://link.springer.com/article/10.1007/s10701-0...
DOI or Unique Handle: 10.1007/s10701-024-00754-w
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
General Issues > Theory/Observation
Date: 21 April 2024
Volume: 54
Number: 19
ISSN: 1572-9516
URI: https://philsci-archive.pitt.edu/id/eprint/23309

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