Abstract
It is shown that, in the Dirac theory of a free electron, the Foldy-Wouthuysen transformation corresponds to the Lorentz transformation from the laboratory to the rest system of the electron, together with a factor which preserves the norm of the wave function. This consideration resolves the ambiguity in the Foldy-Wouthuysen transformation. Also it is shown that covariantly-defined Lorentz-tensor operators may be interpreted as Lorentz transforms of matrix operators from the rest to the laboratory system.
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