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 |
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Keywords: | de Broglie-Bohm theory, protective measurement, wave function, Bohmian particles, charge density |

Subjects: | Specific Sciences > Physics > Quantum Mechanics |

Depositing User: | Mr. Shan Gao |

Date Deposited: | 11 Apr 2012 07:01 |

Last Modified: | 11 Apr 2012 07:01 |

Item ID: | 9087 |

URI: | http://philsci-archive.pitt.edu/id/eprint/9087 |

### Available Versions of this Item

- Why the De Broglie-Bohm Theory Goes Astray. (deposited 18 Dec 2011 15:28)
- Problems of the De Broglie-Bohm Theory. (deposited 29 Feb 2012 08:36)
- Is the electron's charge 2e? A problem of the de Broglie-Bohm theory. (deposited 11 Apr 2012 07:01)
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- Is the electron's charge 2e? A problem of the de Broglie-Bohm theory. (deposited 11 Apr 2012 07:01)

- Problems of the De Broglie-Bohm Theory. (deposited 29 Feb 2012 08:36)

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