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

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

2011-10-24

arxiv.org/abs/1110.5146v1

Physical Review A 84, 012108 (2011)

Physics

Mathematical Physics

10 PostScript figures

Scientific paper

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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