### Abstract

The time evolution of an arbitrary one-dimensional initial quantum state, subject to a time-independent, spatially uniform classical force, is shown to be that of a free-particle state, plus an overall motion arising from the classical force. Bohmian mechanics is then used to extend this result to an arbitrarily time-dependent, uniform force in three dimensions. The resulting solution is completed and confirmed using conventional quantum mechanics.

Original language | English (US) |
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Pages (from-to) | 157-162 |

Number of pages | 6 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 1 |

DOIs | |

State | Published - Jan 6 2006 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics