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L. Lamata, J. León, T. Sch?tz and E. Solano, “Dirac Equ-ation and Quantum Relativistic Effects in a Single Trapped Ion,” Physical Review Letters, Vol. 98, No. 25, 2007, Article ID: 253005. doi:10.1103/PhysRevLett.98.253005.

has been cited by the following article:

• TITLE: A New Wave Equation of the Electron

  AUTHORS: Arbab I. Arbab

  KEYWORDS: Dirac Equation, Zitterbewegung, Universal Quantum Wave Equation, Quaternion Quantum Mechanics

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.9, September 19, 2011

  ABSTRACT: A new form of Dirac equation of a second order partial differential equation is found. With this wave equation the quivering motion (Zitterbewegung) is satisfactorily explained. A quaternionic analogue of Dirac equation is presented and compared with the ordinary Dirac equation. The two equations become the same if we replace the particle rest mass, m0, in the latter by im0. New space and time transformations in which these two equations represent a massless particle are found. The invariance of Klein-Gordon equation under these transformations yields the Dirac equation. The electron is found to be represented by a superposition of two waves with a group velocity equals to speed of light in vacuum.