The change of picture contribution to relativistic corrections to second-order properties

  • Turski P
  • Sadlej A
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Abstract

The effect of the so-called change of picture for operators in approximate relativistic theories on the second-order properties arising from some external perturbation, is considered. By means of the direct perturbation theory the general formula for the lowest-order relativistic correction to second-order properties is derived. The term which arises from the change of picture for the external perturbation operator is identified and evaluated for dipole and quadrupole polarizabilities. For the 1s1/2state of the hydrogen-like ions this term is found to bring about 16% and 7% of the total lowest-order irelativistic correction to the dipole and quadrupole polarizabilities, respectively. This finding is discussed in terms of its importance for long range interactions between heavy systems. © 2001 Elsevier Science B.V.

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Authors

  • Przemyslaw Turski

  • Andrzej J. Sadlej

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