Abstract
A Schrödinger-like formalism of relativistic quantum theory is presented based on an alternative Lagrangian formalism of relativistic mechanics with the proper time as the evolution parameter. The Schrödinger-like formalism resolves the great difficulties of negative probability density, Klein paradox, and Zitterbewegung. Ehrenfest's theorem is preserved in the Schrödinger-like formalism.
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Huang, YS. Formulation of Schrödinger-Like Relativistic Wave Equation of Motion. Foundations of Physics 28, 1551–1559 (1998). https://doi.org/10.1023/A:1018886302054
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DOI: https://doi.org/10.1023/A:1018886302054