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As αS (ωL) is symmetric, there are no rank one contributions.
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As αS (ωL) is symmetric, there are no rank one contributions.
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33
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38849172581
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The time-evolution operator is not given by the usual exponential form due to the time dependence of the interaction with the laser and the x rays.
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The time-evolution operator is not given by the usual exponential form due to the time dependence of the interaction with the laser and the x rays.
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37
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38849186152
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note
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The complex conjugation of i i′ ′ in the Hermitian scalar product in Eq. 32 prevents that i i′ ′ is actually complex conjugated. This is necessary for the scalar product of the vectors to reproduce the matrix element between the direct product states 31 and the direct product of operators X,M in Eq. 29.
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38
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38849191895
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Note that we define the cross correlation for t-τ instead of t+τ as is common in mathematics. According to our definition, a positive (negative) τ implies that the x-ray pulse maximum comes later (earlier) than the laser pulse maximum.
-
Note that we define the cross correlation for t-τ instead of t+τ as is common in mathematics. According to our definition, a positive (negative) τ implies that the x-ray pulse maximum comes later (earlier) than the laser pulse maximum.
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39
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38849191242
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Basis sets were obtained from the Extensible Computational Chemistry Environment Basis Set Database, Version 02/02/06, as developed and distributed by the Molecular Science Computing Facility, Environmental and Molecular Sciences Laboratory which is part of the Pacific Northwest Laboratory, P.O. Box 999, Richland, Washington 99352, USA, and funded by the U.S. Department of Energy. The Pacific Northwest Laboratory is a multi-program laboratory operated by Battelle Memorial Institute for the U.S. Department of Energy under Contract No. DE-AC06-76RLO 1830. Contact Karen Schuchardt for further information.
-
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