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

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.

preprint2011arXivOpen access
K. KowalskiJ. Rembielinski
hep-phmath-phmath.MP
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K. KowalskiJ. Rembielinski

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