On Clifford numbers, Dirac and relativistic Hamilton-Jacobi equations

Jerome Percus, Nikitas L. Petrakopoulos

Research output: Contribution to journalArticle

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
StatePublished - 1971

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Hamilton-Jacobi equation
Hamilton-Jacobi Equation
Spinor
Dirac Equation
Electromagnetic Fields
Paul Adrien Maurice Dirac
Electron
Three-dimensional
Dirac equation
Electromagnetic fields
electromagnetic fields
Electrons
electrons
Class

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

On Clifford numbers, Dirac and relativistic Hamilton-Jacobi equations. / Percus, Jerome; Petrakopoulos, Nikitas L.

In: Journal of Mathematical Physics, Vol. 12, No. 12, 1971, p. 2516-2520.

Research output: Contribution to journalArticle

Percus, J & Petrakopoulos, NL 1971, 'On Clifford numbers, Dirac and relativistic Hamilton-Jacobi equations', Journal of Mathematical Physics, vol. 12, no. 12, pp. 2516-2520.
Percus, Jerome ; Petrakopoulos, Nikitas L. / On Clifford numbers, Dirac and relativistic Hamilton-Jacobi equations. In: Journal of Mathematical Physics. 1971 ; Vol. 12, No. 12. pp. 2516-2520.
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