Erratum: “Perspectives of relativistic quantum chemistry: The neg-

نویسنده

  • Wenjian Liu
چکیده

Although claimed for a many electron system, some of the (nonradiative and nonretarded) QED energy expressions (i.e., Eqs. (92), (95), and (107)) in Ref.1 are found to hold only for the special case of two electrons. In particular, except for the diagrams considered before (see Figs. (3a) to (3h)), the socalled three-electron-two-photon diagram2 shown in Fig. (3i) should also be included for the second order energy E(2) of a many-electron system. Since the QED energy expressions for more than three electrons have not yet been documented in the literature, it is worthwhile to make a complete derivation here. For this purpose, some simple rules are first provided in Appendix A so as to directly write down the algebraic equations for the Feynman diagrams. Further combined with the integral identities in Appendix B, the elements of the S-matrix and hence the energy shifts can readily be evaluated. It is further shown that the disconnected but linked diagrams shown in Fig. (4) should also be considered to precisely cancel the singular terms arising from Fig. (3), a point that is rarely mentioned in the QED literature. The final two-body terms of E(2) include Eqs. (30), (31), (42), and (76), while the one-body terms include Eqs. (97) and (99). Consequently, Eqs. (95) and (107) in Ref.1 should be replaced with the present Eqs. (42) and (99), respectively. Although formerly the same, Eq. (92) in Ref.1 (actually the first term of the present Eq. (32)) should be understood as the present Eq. (72) arising from Fig. (3i). Notwithstanding these corrections for the equations, which are only necessary for more generality, none of the statements in the original context needs to be revised. In particular, the ‘(time-independent) potential-independent no-

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تاریخ انتشار 2012