The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators
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
KeywordsDynamical System Field Theory Elementary Particle Quantum Field Theory Mathematical Method
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