The electric dipole moment of the electron: An intuitive explanation for the evasion of Schiff’s theorem

Commins, Eugene D.; Jackson, J. D.; DeMille, David P.

doi:doi:10.1119/1.2710486

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American Journal of Physics -- June 2007 -- Volume 75, Issue 6, pp. 532

The electric dipole moment of the electron: An intuitive explanation for the evasion of Schiff’s theorem

Eugene D. Commins¹, J. D. Jackson¹, and David P. DeMille²

¹Department of Physics, University of California, Berkeley, California 94720
²Department of Physics, Yale University, New Haven, Connecticut 06520-8120

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In most experimental searches for the electron electric dipole moment, one searches for a linear Stark effect in a paramagnetic atom or molecule and interprets the result in terms of the electric dipole moment of the unpaired valence electron(s). Schiff’s theorem states that in the limit of nonrelativistic quantum mechanics, there can be no linear Stark effect to first order in the electric dipole moment. Sandars has shown that Schiff’s theorem is not applicable when special relativity is taken into account. We give a heuristic explanation for this relativistic effect, which corrects a widespread misconception in the literature.