The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators |
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| Authors: | Heinz Siedentop Edgardo Stockmeyer |
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| Institution: | 1. Mathematisches Institut, Ludwig-Maximilians-Universit?t München, Theresienstra?e 39, D-80333, München, Germany
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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 γ less than γc = 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
submitted 26/02/05, accepted 12/04/05 |
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