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
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submitted 26/02/05, accepted 12/04/05
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Siedentop, H., Stockmeyer, E. The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators. Ann. Henri Poincaré 7, 45–58 (2006). https://doi.org/10.1007/s00023-005-0241-9
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DOI: https://doi.org/10.1007/s00023-005-0241-9