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Solutions of the Dirac-Fock equations for atoms and molecules. (English) Zbl 0938.35149

Using variational methods, the authors construct a whole sequence of solutions of the Dirac-Fock equations (without projector), which modelize a relativistic molecule with fixed atoms. The only conditions they require concern the total nuclear charge \(Z\) and the number \(N\) of electrons: they must satisfy \(Z\leq 124\), \(N\leq 41\) and \(N\leq Z\).

MSC:

35Q40 PDEs in connection with quantum mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81V55 Molecular physics
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