Vacuum polarization by a Coulomb center and a strong magnetic field. Uehling's correction
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The problem of vacuum polarization by the Coulomb field of the nucleus and a constant homogeneous magnetic field is examined by the “proper time” method. For this the magnetic field is exactly taken into account, and the Coulomb field is considered by perturbation theory. In the case of a magnetic field equal to zero, we calculate the change of the Coulomb potential which results from vacuum polarization. The result obtained coincides with the well-known Uehling correction.
KeywordsMagnetic Field Perturbation Theory Proper Time Coulomb Potential Strong Magnetic Field
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