Quantum-mechanical time evolution and uniform forces

Gary E. Bowman

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)157-162
Number of pages6
JournalJournal of Physics A: Mathematical and General
Issue number1
StatePublished - Jan 6 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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