Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics
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چکیده
منابع مشابه
Variational-Splitting Time Integration of the Multi-Configuration Time-Dependent Hartree–Fock Equations in Electron Dynamics
We discuss the numerical approximation of the solution to the multi-configuration time-dependent Hartree-Fock (MCTDHF) equations in quantum dynamics. The MCTDHF method approximates the high-dimensional wave function of the time-dependent electronic Schrödinger equation by an antisymmetric linear combination of products of functions depending only on three-dimensional spatial coordinates. The eq...
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The multiconfiguration methods are widely used by quantum physicists and chemists for numerical approximation of the many electron Schrödinger equation. Recently, first mathematically rigorous results were obtained on the time-dependent models, e.g. short-in-time well-posedness in the Sobolev space H for bounded interactions [20] with initial data in H, in the energy space for Coulomb interacti...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2010
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drp040