The SO4-Invariant Solutions of the λφ4 Theory

  • L. Castell
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 9/1972)


Three facts motivate the investigation of the SO4 invariant solutions of the classcal λØ4 theory:
  1. 1)

    This class of solutions can be interpreted physically, since these wave packets have finite enery and momentum.

  2. 2)

    The solutions with the greatest symmetry usually from the ground state of a theory, as in the case under consideration, they correspond closely to the ground state n=1 of the hydrogen atom.

  3. 3)

    There exist about a dozen mathematical paers on the global properties of the solutions of this field equation.



Field Equation Wave Packet Minkowski Space Global Property Conformal Transformation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. Castell, Nuci. Phys. B13, 231 (1969).ADSCrossRefGoogle Scholar
  2. 2.
    L. Castell, “Exact Solutions of the)44 Theory”, Jan. 1972, submitted to Physical Review D.Google Scholar

Copyright information

© Springer-Verlag Wien 1972

Authors and Affiliations

  • L. Castell
    • 1
  1. 1.Lebensbedingungen der wissenschaftlich-technischen WeltMax-Planck-Institut zur ErforschungStarnbergGermany

Personalised recommendations