Subcritical External Potentials

  • Walter Greiner
  • Berndt Müller
  • Johann Rafelski
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

To prepare for the discussion of overcritical phenomena in the case of spin-0 particles, in this chapter the quantized theory of bosons in external potentials will be treated. Starting from the Hamiltonian field equations and the commutation relations for the field operators, the standard procedure of canonical quantization is outlined. This leads to the construction of the many-particle Fock space and to diagonalized expressions for the charge operator and the Hamiltonian. Finally the energy spectrum of the Klein-Gordon equation with a point-like Coulomb potential is obtained. It is found to exhibit singular behaviour already at Zα= 1/2.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Schw 61.
    S. S. Schweber: Relativistic Quantum Field Theory (Hagler and Row, New York 1961)Google Scholar
  2. Lu 68.
    D. Lurié: Particles and Fields (Wiley, New York 1968)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Walter Greiner
    • 1
  • Berndt Müller
    • 1
  • Johann Rafelski
    • 2
  1. 1.Institut für Theoretische PhysikJohann-Wolfgang-Goethe UniversitätFrankfurt/MainFed. Rep. of Germany
  2. 2.Institute of Theoretical Physics and AstrophysicsUniversity of Cape TownRondeboschSouth Africa

Personalised recommendations