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

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.

10 PostScript figures

References in corpus (4)

• The relativistic massless harmonic oscillator
• Relativistic equations with fractional and pseudo-differential operators
• Lorentz covariant statistical mechanics and thermodynamics of the relativistic ideal gas and preferred frame
• Relativistic ideal Fermi gas at zero temperature and preferred frame

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