Non-locality of Foldy-Wouthuysen and related transformations for the Dirac equation

Abstract

Non-localities of Foldy-Wouthuysen and related transformations, which are used to separate positive and negative energy states in the Dirac equation, are investigated. Second moments of functional kernels generated by the transformations are calculated, the transformed functions and their variances are computed. It is shown that all the transformed quantities are smeared in the coordinate space by the amount comparable to the Compton wavelength ${\lambda }_c=\hslash /mc$.

7 pages, two figures

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Cited by in corpus (2)

• Non-locality of energy separating transformations for Dirac electrons in a magnetic field
• Transformation of bound states of relativistic hydrogen-l ike atom into two-component form