Advertisement

Ground State Energy of the Helium Atom

  • Alexander Yelkhovsky
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 570)

Abstract

With an eye on the high accuracy (~ 10MHz) evaluation of the ionization energy from the helium atom ground state, a complete set of order 6 operators is built. This set is gauge and regularization scheme independent and can be used for an immediate calculation with a wave function of the helium ground state.

Keywords

Wave Function Helium Atom Regularization Scheme Soft Scale Scale Contribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    K.S.E. Eikema, W. Ubachs, W. Vassen, and W. Hogervorst: Phys. Rev. A55, 1866 (1997)ADSGoogle Scholar
  2. 2.
    S.D. Bergeson, A. Balakrishnan, K.J.H. Baldwin, T.B. Lucatorto, J.P. Marangos, T.J. McIlrath, T.R. O’Brian, S.L. Rolston, C.J. Sansonetti, J. Wen, N. Westbrook, C.H. Cheng, and E.E. Eyler: Phys. Rev. Lett.80, 3475 (1998)CrossRefADSGoogle Scholar
  3. 3.
    G.W.F. Drake and P.C. Martin: Can. J. Phys. 76, 679 (1998)CrossRefADSGoogle Scholar
  4. 4.
    V. Korobov and A. Yelkhovsky: to be publishedGoogle Scholar
  5. 5.
    A. Czarnecki, K. Melnikov, and A. Yelkhovsky: Phys. Rev. A59, 4316 (1999) and this edition, pp. 387-396ADSGoogle Scholar
  6. 6.
    R. Karplus, A. Klein, and J. Schwinger: Phys. Rev. 84, 597 (1951) and 86, 288 (1952); M. Baranger: Phys. Rev. 84, 866 (1951); M. Baranger, H.A. Bethe, and R.P. Feynman: Phys. Rev. 92, 482 (1953)CrossRefADSGoogle Scholar
  7. 7.
    T. Appelquist and S.J. Brodsky: Phys. Rev. Lett. 24, 562 (1970) and Phys. Rev. A2, 2293 (1970); R. Barbieri, J.A. Mignaco and E. Remiddi: Lett. Nuovo Cim. A6, 21 (1 971 ); E.A. Kuraev, L.N. Lipatov, and N.P. Merenkov: preprint LNPI 46 (1973)CrossRefADSGoogle Scholar
  8. 8.
    A. Peterman: Helv. Phys. Acta 30, 407 (1957) and Nucl. Phys. 3, 689 (1957); C.M. Sommer.eld: Phys. Rev. 107, 328 (1957) and Ann. Phys. (NY) 5, 26 (1958)Google Scholar
  9. 9.
    M. Baranger, F.J. Dyson, and E.E. Salpeter: Phys. Rev. 88, 680 (1952); G. Kallen and A. Sabry: Kgl. Dan. Vidensk. Selsk. Mat.-Fys. Medd. 29, No.17 (1955); J. Schwinger: Particles, sources and.elds, V.2 (Addison-Wesley, Reading, MA, 1973)CrossRefADSzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Alexander Yelkhovsky
    • 1
  1. 1.Budker Institute for Nuclear PhysicsNovosibirskRussia

Personalised recommendations