Abstract

Several reasons suggest that the difficulties to obtain the position operator in relativistic quantum mechanics are caused by the hypothesis that the measurable values of a component of the position are real numbers instead of regions of space of the order of a Compton wave length. We show how to develop the idea by using nonnormal operators and prove that this is consistent with reasonable requirements of position. The use of non-Hermitian and nonnormal operators in quantum mechanics is discussed.

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