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Sternheimer equation - TDDFT.org

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<strong>Sternheimer</strong> <strong>equation</strong>: projectors and resonances<br />

Project out unperturbed state to enforce standard phase convention.<br />

Can also project out occupied states for linear density response.<br />

Larger null space: fewer solver iterations.<br />

Need imaginary broadening ω + iη near resonances for numerical stability.<br />

Experiment is broadened anyway.<br />

Allows us to obtain imaginary part<br />

of response as well.<br />

X Andrade, S Botti, MAL Marques, and A Rubio,<br />

J. Chem. Phys. 126, 184106 (2007)

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