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arXiv · 1110.5146

The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics

K. Kowalski·J. Rembielinski
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Abstract

The probablity current for a quantum spinless relativistic particle is introduced based on the Hamiltonian dynamics approach utilizing the Salpeter equation as an alternative of the Klein-Gordon equation. The correctness of the presented formalism is illustrated by examples of exact solutions to the Salpeter equation including the new ones introduced in this work.

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K. Kowalski, J. Rembielinski. 2011-10-24. The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics. https://doi.org/10.1103/physreva.84.012108

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