Quantum-mechanical time evolution and uniform forces

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)157-162
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number1
DOIs
StatePublished - Jan 6 2006

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Quantum theory
Mechanics
Quantum State
Quantum Mechanics
Three-dimension
quantum mechanics
Motion
Arbitrary

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.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 1, 06.01.2006, p. 157-162.

Research output: Contribution to journalArticle

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