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Is the electron's charge 2e? A problem of the de Broglie-Bohm theory

Gao, Shan (2012) Is the electron's charge 2e? A problem of the de Broglie-Bohm theory. [Preprint]

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Abstract

It is shown that the de Broglie-Bohm theory has a potential problem concerning the charge distribution of a quantum system such as an electron. According to the guidance equation of the theory, the electron's charge is localized in a position where its Bohmian particle is. But according to the Schrödinger equation of the theory, the electron's charge is not localized in one position but distributed throughout space, and the charge density in each position is proportional to the modulus square of the wave function of the electron there. Although this tension may be resolved by assuming that the electron's charge is not e but 2e, one for its Bohmian particle and the other for its wave function, the resolution will introduce more serious problems.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gao, Shansgao7319@uni.sydney.edu.au
Keywords: de Broglie-Bohm theory, protective measurement, wave function, Bohmian particles, charge density
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Shan Gao
Date Deposited: 11 Apr 2012 11:01
Last Modified: 11 Apr 2012 11:01
Item ID: 9087
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 10 April 2012
URI: https://philsci-archive.pitt.edu/id/eprint/9087

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