All-electron time-dependent density functional theory with finite elements: Time-propagation approach
نویسندگان
چکیده
منابع مشابه
All-electron time-dependent density functional theory with finite elements: time-propagation approach.
We present an all-electron method for time-dependent density functional theory which employs hierarchical nonuniform finite-element bases and the time-propagation approach. The method is capable of treating linear and nonlinear response of valence and core electrons to an external field. We also introduce (i) a preconditioner for the propagation equation, (ii) a stable way to implement absorbin...
متن کاملAll-electron density functional theory and time-dependent density functional theory with high-order finite elements.
We present for static density functional theory and time-dependent density functional theory calculations an all-electron method which employs high-order hierarchical finite-element bases. Our mesh generation scheme, in which structured atomic meshes are merged to an unstructured molecular mesh, allows a highly nonuniform discretization of the space. Thus it is possible to represent the core an...
متن کاملAll-electron Density Functional Theory and Time- Dependent Density Functional Theory with Finite Elements
The density functional theory (DFT) has become the workhorse in electronic structure calculations. Its success derives from the ability to produce accurate results with reasonable computational effort. The drawback of the DFT is that in principle it is bound to the ground-state properties. However, the time-dependent DFT (TDDFT) extends the applicatibility of the DFT to excited states. In recen...
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A practical computational scheme based on time-dependent density functional theory TDDFT and ultrasoft pseudopotentials USPP is developed to study electron dynamics in real time. A modified Crank-Nicolson time-stepping algorithm is adopted, under plane-wave basis. The scheme is validated by calculating the optical absorption spectra for a sodium dimer and a benzene molecule. As an application o...
متن کاملTime-dependent density functional theory.
Time-dependent density functional theory (TDDFT) can be viewed as an exact reformulation of time-dependent quantum mechanics, where the fundamental variable is no longer the many-body wave function but the density. This time-dependent density is determined by solving an auxiliary set of noninteracting Schrodinger equations, the Kohn-Sham equations. The nontrivial part of the many-body interacti...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2011
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.3651239