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Imaging electron motion with attosecond time resolution

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Frenkel vs. Wannier in <strong>time</strong>-domain IXS<br />

Wannier’s Excitonic Basis:<br />

| R, R + β ><br />

Excitons come from diagonalizing<br />

∑<br />

K<br />

ββ ′<br />

′<br />

R<br />

−i<br />

⋅R<br />

H ( K) = e < R, R + β | H | 0, β ><br />

For Frenkel exciton, dominated by one term:<br />

∑<br />

K<br />

R<br />

( ) −i<br />

⋅R<br />

H , | | 0,0<br />

00<br />

K = e < R R H ><br />

Conclusion: Frenkel exciton keeps its size / shape through its life. Wannier<br />

changes. Inverted IXS directly sensitive to Wannier vs. Frenkel vs.<br />

intermediate descriptions.

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