### 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

### Cite this

**Quantum-mechanical time evolution and uniform forces.** / Bowman, Gary E.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 39, no. 1, pp. 157-162. https://doi.org/10.1088/0305-4470/39/1/011

}

TY - JOUR

T1 - Quantum-mechanical time evolution and uniform forces

AU - Bowman, Gary E

PY - 2006/1/6

Y1 - 2006/1/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=29144497829&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144497829&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/1/011

DO - 10.1088/0305-4470/39/1/011

M3 - Article

VL - 39

SP - 157

EP - 162

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 1

ER -