Advertisement

S-Matrix

  • Ingvar LindgrenEmail author
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 63)

Abstract

In Part I, we have considered methods for treating atomic many-body systems within the standard relativistic MBPT and coupled-cluster schemes, in what is known as the no-virtual-pair approximation (NVPA). In the second part, we shall include effects beyond this approximation, which we shall refer to as quantum-electrodynamical (QED) effects. We shall describe three methods for numerical calculations of QED effects on bound states, developed in the last few decades, which are all based upon field theory.1

References

  1. 1.
    Adkins, G.: One-loop renormalization of Coulomb-gauge QED. Phys. Rev. D 27, 1814–20 (1983)Google Scholar
  2. 2.
    Bjorken, J.D., Drell, S.D.: Relativistic Quantum Mechanics. Mc-Graw-Hill Pbl. Co, N.Y. (1964)Google Scholar
  3. 3.
    Blundell, S., Mohr, P.J., Johnson, W.R., Sapirstein, J.:Evaluation of two-photon exchange graphs for highly charged heliumlike ions. Phys. Rev. A 48, 2615–26 (1993)Google Scholar
  4. 4.
    Fetter, A.L., Walecka, J.D.:The Quantum Mechanics of Many-Body Systems. McGraw-Hill, N.Y. (1971)Google Scholar
  5. 5.
    Feynman, R.P.: Space-Time Approach to Quantum Electrodynamics. Phys. Rev. 76, 769–88 (1949)Google Scholar
  6. 6.
    Feynman, R.P.: The Theory of Positrons. Phys. Rev. 76, 749–59 (1949)Google Scholar
  7. 7.
    Lamb, W.W., Retherford, R.C.: Fine structure of the hydrogen atom by microwave method. Phys. Rev. 72, 241–43 (1947)Google Scholar
  8. 8.
    Lindgren, I., Morrison, J.: Atomic Many-Body Theory. Second edition, Springer-Verlag, Berlin (1986, reprinted 2009)Google Scholar
  9. 9.
    Lindgren, I., Persson, H., Salomonson, S., Labzowsky, L.:Full QED calculations of two-photon exchange for heliumlike systems: Analysis in the Coulomb and Feynman gauges. Phys. Rev. A 51, 1167–1195 (1995)Google Scholar
  10. 10.
    Mandl, F., Shaw, G.:Quantum Field Theory. John Wiley and Sons, New York (1986)Google Scholar
  11. 11.
    Mohr, P.J., Plunien, G., Soff, G.: QED corrections in heavy atoms. Physics Reports 293, 227–372 (1998)Google Scholar
  12. 12.
    Persson, H., Lindgren, I., Salomonson, S., Sunnergren, P.: Accurate vacuum-polarization calculations. Phys. Rev. A 48, 2772–78 (1993)Google Scholar
  13. 13.
    Peskin, M.E., Schroeder, D.V.: An introduction to Quantun Field Theory. Addison-Wesley Publ. Co., Reading, Mass. (1995)Google Scholar
  14. 14.
    Rosenberg, L.:Virtual-pair effects in atomic structure theory. Phys. Rev. A 39, 4377–86 (1989)Google Scholar
  15. 15.
    Schweber, S.S.:The men who madt it: Dyson, Feynman, Schwinger and Tomonaga. Princeton University Press, Princeton (1994)Google Scholar
  16. 16.
    Sucher, J.: S-Matrix Formalism for Level-Shift Calculations. Phys. Rev. 107, 1448–54 (1957)Google Scholar
  17. 17.
    Uehling, E.A.: Polarization Effects in the Positron Theory. Phys. Rev. 48, 55–63 (1935)Google Scholar
  18. 18.
    Wheeler, J.A.: On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure. Phys. Rev. 52, 1107–22 (1937)Google Scholar
  19. 19.
    Wichmann, E.H., Kroll, N.M.: Vacuum Polarization in a Strong Coulomb Field. Phys. Rev. 101, 843–59 (1956)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of GothenburgGöteborgSweden

Personalised recommendations