Annales Henri Poincaré

, Volume 7, Issue 1, pp 45–58 | Cite as

The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators

  • Heinz Siedentop
  • Edgardo Stockmeyer
Original Paper


We show that the Douglas-Kroll block-diagonalization method for the Dirac operator with Coulomb potential is convergent in norm resolvent sense for coupling constant γ less than γ c = 0.37758 which corresponds to atomic number 51. Moreover, we give an explicit expression for the corresponding block-diagonalized Dirac operator.

Communicated by Vincent Rivasseau


Dynamical System Field Theory Elementary Particle Quantum Field Theory Mathematical Method 
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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany

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