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- W2069678928 abstract "A non-linear conjugate gradient optimization scheme is used to obtain excitation energies within the Random Phase Approximation (RPA). The solutions to the RPA eigenvalue equation are located through a variational characterization using a modified Thouless functional, which is based upon an asymmetric Rayleigh quotient, in an orthogonalized atomic orbital representation. In this way, the computational bottleneck of calculating molecular orbitals is avoided. The variational space is reduced to the physically-relevant transitions by projections. The feasibility of an RPA implementation scaling linearly with system size, N, is investigated by monitoring convergence behavior with respect to the quality of initial guess and sensitivity to noise under thresholding, both for well- and ill-conditioned problems. The molecular- orbital-free algorithm is found to be robust and computationally efficient providing a first step toward a large-scale, reduced complexity calculation of time-dependent optical properties and linear response. The algorithm is extensible to other forms of time-dependent perturbation theory including, but not limited to, time-dependent Density Functional theory." @default.
- W2069678928 created "2016-06-24" @default.
- W2069678928 creator A5027839236 @default.
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- W2069678928 creator A5079011493 @default.
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- W2069678928 date "2008-08-14" @default.
- W2069678928 modified "2023-09-24" @default.
- W2069678928 title "Molecular-orbital-free algorithm for excited states in time-dependent perturbation theory" @default.
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- W2069678928 doi "https://doi.org/10.1063/1.2965535" @default.
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