Analytic structure of solutions to multiconfiguration equations
نویسندگان
چکیده
منابع مشابه
Analytic Structure of Solutions to Multiconfiguration Equations
We study the regularity at the positions of the (fixed) nuclei of solutions to (non-relativistic) multiconfiguration equations (including Hartree–Fock) of Coulomb systems. We prove the following: Let {φ1, . . . , φM} be any solution to the rank–M multiconfiguration equations for a molecule with L fixed nuclei at R1, . . . , RL ∈ R. Then, for any j ∈ {1, . . . , M}, k ∈ {1, . . . , L}, there exi...
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The multiconfiguration methods are the natural generalization of the well-known Hartree-Fock theory for atoms and molecules. By a variational method, we prove the existence of a minimum of the energy and of infinitely many solutions of the multiconfiguration equations, a finite number of them being interpreted as excited states of the molecule. Our results are valid when the total nuclear charg...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/31/315208