This is an old revision of the document!
==== Bibliography ==== === Classics === * [Dir34a] P.-A.-M. Dirac. //Théorie du positron//. In Cockcroft, J. Chadwick, F. Joliot, J. Joliot, N. Bohr, G. Gamov, P.A.M. Dirac, and W. Heisenberg, editors, Structure et propriétés des noyaux atomiques. Rapports et discussions du septieme conseil de physique tenu à Bruxelles du 22 au 29 octobre 1933 sous les auspices de l’institut international de physique Solvay. Publies par la commission administrative de l’institut., pages 203–212. Paris: Gauthier-Villars. XXV, 353 S., 1934 {{ :ncpchem:dirac_solvay1934.pdf |(pdf)}} * [Dir34b] P. A. M. Dirac. //Discussion of the innite distribution of electrons in the theory of the positron//, Mathematical Proceedings of the Cambridge Philosophical Society, **30** (1934) 150 {{ :ncpchem:dirac_proccambphilsoc1934.pdf |(pdf)}} * [Fur34] W. H. Furry and J. R. Oppenheimer, //On the theory of the electron and positive//, Phys. Rev. 45 (1934) 245 {{ :ncpchem:furry_oppenheimer_physrev1934.pdf |(pdf)}} [Introduces the particle-hole formalism and reordering] * [Kra37] H.A. Kramers, //The use of charge-conjugated wave-functions in the hole-theory of the electron//, Proceedings Koninklijke Akademie van Wetenschappen 40 (1937) 814-823 {{ :ncpchem:kramers_charge_conjugation_1937.pdf |(pdf)}} [Introduces charge conjugation. All publications of Kramers are found [[https://www.lorentz.leidenuniv.nl/IL-publications/Kramers.html|here]]] * [Sch48] Julian Schwinger, //Quantum Electrodynamics. I. A Covariant Formulation.// Phys. Rev. 74 (1948) 1439{{ :ncpchem:schwinger_physrev.74.1439.pdf |(pdf)}} * [Sch49] Julian Schwinger, //Quantum Electrodynamics. II. Vacuum polarization and Self-Energy.// Phys. Rev. 75 (1949) 651 {{ :ncpchem:schwinger_physrev.75.651.pdf |(pdf)}} * [Wic56] Eyvind H. Wichmann and Norman M. Kroll, //Vacuum Polarization in a Strong Coulombic Field//, Phys/ Rev. **101** (1956) 843 {{ :ncpchem:wichmann_kroll_physrev1956.pdf |(pdf)}} === Mean-field QED === * [Bec93] Adam Bechler, //Summation formulae for spherical spinors//, J. Phys. A: Math. Gen. 26 (1993) 6039 {{ :ncpchem:bechler_jphysa1993.pdf |(pdf)}} * [Bia11] Raffaello Bianco and Raffaele Resta, //Mapping topological order in coordinate space//, Physical Review B 84, 241106(R) (2011) {{ :ncpchem:bianco_resta_2011_mapping_topological_order_in_coordinate_space.pdf |(pdf)}} * [Cha89a] P Chaix and D Iracane, //From quantum electrodynamics to mean-field theory. I. The Bogoliubov-Dirac-Fock formalism//, J. Phys. B: At. Mol. Opt. Phys. 22 (1989) 3791 {{ :ncpchem:p_chaix_1989_j._phys._b_at._mol._opt._phys._22_004.pdf | (pdf)}} * [Cha89b] P Chaix and D Iracane, //From quantum electrodynamics to mean-field theory. II. Variational stability of the vacuum of quantum electrodynamics in the mean-field approximation//, J. Phys. B: At. Mol. Opt. Phys. 22 (1989) 3815 {{ :ncpchem:p_chaix_1989_j._phys._b_at._mol._opt._phys._22_005.pdf |(pdf)}} * [Hai07] Christian Hainzl, Mathieu Lewin and Jan Philip Solovej, //The mean‐field approximation in quantum electrodynamics: The no‐photon case//, Comm. Pure Appl. Math., 60 (2007) 546-596 {{ :ncpchem:hainz_lewin_solovej_commpureapplmath_2007.pdf | (pdf)}} * [Lew11] Mathieu Lewin. R//enormalization of Dirac's polarized vacuum.// In Pavel Exner, editor, Mathematical Results In Quantum Physics, pages 45–59. World Scientific Publishing, 2011. Proceedings of the QMath 11 Conference, Hradec Kralove, Czech Republic, 6 –10 September 2010. {{ :ncpchem:lewin_-_renormalization_of_dirac_s_polarized_vacuum_2011.pdf |(pdf)}} * [Sau03] T. Saue and L. Visscher: //Four-component electronic structure methods for molecules//, in S. Wilson and U. Kaldor (eds.): ``Theoretical chemistry and physics of heavy and superheavy elements'', Kluwer, Dordrecht 2003 {{ :ncpchem:chap8.pdf |(pdf)}} * [Sch15] Jan Schlemmer and Jochen Zahn, //The current density in quantum electrodynamics in external potentials//, Annals of Physics 359 (2015) 31–45 {{ :ncpchem:schlemmer_zahn_annphys2015.pdf |(pdf)}}
