On Clifford numbers, Dirac and relativistic Hamilton-Jacobi equations

Jerome K. Percus, Nikitas L. Petrakopoulos

Research output: Contribution to journalArticlepeer-review

Abstract

Conditions are established under which the Dirac equation for an electron in an electromagnetic field has an exact semiclassical solution. In other words, the phase is identified with a solution of the corresponding relativistic Hamilton-Jacobi equation and the spinor amplitude has no explicit dependence upon ℏ. The complete set of admissible fields is determined for one-dimensional and stationary three-dimensional systems, while an extensive class is indicated for the general time-dependent problem.

Original languageEnglish (US)
Pages (from-to)2516-2520
Number of pages5
JournalJournal of Mathematical Physics
Volume12
Issue number12
DOIs
StatePublished - 1971

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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