Generator coordinate method in time-dependent density-functional theory: Memory made simple
نویسندگان
چکیده
منابع مشابه
Memory in time-dependent density functional theory.
Exact time-dependent density functionals remember both the entire history of the density and the initial wave function. We show that the two effects are intimately related, and all history dependence can be written as initial-state dependence, including that of the exchange-correlation kernel. For states that can be evolved from a ground state, all initial-state dependence is a dependence on a ...
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...
متن کاملTime-Dependent Density Functional Theory
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متن کاملProgress in time-dependent density-functional theory.
The classic density-functional theory (DFT) formalism introduced by Hohenberg, Kohn, and Sham in the mid-1960s is based on the idea that the complicated N-electron wave function can be replaced with the mathematically simpler 1-electron charge density in electronic structure calculations of the ground stationary state. As such, ordinary DFT cannot treat time-dependent (TD) problems nor describe...
متن کاملExcitations in time-dependent density-functional theory.
An approximate solution to the time-dependent density-functional theory response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition frequencies and oscillator strengths are usually good approximations to the true values, and why sometimes they are not. The approximation yields simple expressions for Gö...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2007
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.2768368