Schrödinger-Like Relativistic Wave Equation of Motion for the Lorentz-Scalar Potential

Foundations of Physics 31 (9):1287-1298 (2001)
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Abstract

A Schrödinger-like relativistic wave equation of motion for the Lorentz-scalar potential is formulated based on a Lagrangian formalism of relativistic mechanics with a scaled time as the evolution parameter. Applications of this Schrödinger-like formalism for the Lorentz-scalar potential are given: For the square-step potential, the predictions of this formalism are free from the Klein paradox, and for the Coulomb potential, this formalism yields the exact bound-state eigenenergies and eigenfunctions

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10.1023/a:1012270110871

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The Principles of Quantum Mechanics.P. A. M. Dirac - 1936 - Revue de Métaphysique et de Morale 43 (2):5-5.

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