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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

Abstract.

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

Keywords

Dynamical System Field Theory Elementary Particle Quantum Field Theory Mathematical Method 
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.

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany

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