05-143 Heinz Siedentop, Edgardo Stockmeyer
The Douglas-Kroll-He{\ss} Method: Convergence and Block-Diagonalization of Dirac Operators (290K, pdf) Apr 23, 05
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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 $\gamma$ less than $\gamma_c=0.37758$ which corresponds to atomic number $51$. Moreover, we give an explicit expression for the corresponding block-diagonalized Dirac operator.

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