Quantum mechanical time-development operator for the uniformly accelerated particle

R. W. Robinett

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


We derive a useful expression for the time-development operator for quantum wave functions, exp(-iĤt/ℏ), for the case of a particle subject to a constant force. We apply it, in both position and momentum space, to construct wave packets that exhibit uniform acceleration. We use these results to generate quantum wave packets corresponding to the motion of a charged particle in a uniform electric field in two different gauges, explicitly demonstrating the change in phase of the wave function under a gauge transformation. The more standard description of the time dependence of accelerating wave packets using the formalism of propagators is briefly reviewed in an Appendix for comparison.

Original languageEnglish (US)
Pages (from-to)803-808
Number of pages6
JournalAmerican Journal of Physics
Issue number6
StatePublished - Jun 1996

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Quantum mechanical time-development operator for the uniformly accelerated particle'. Together they form a unique fingerprint.

Cite this