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85034502837
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note
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This transfer operator, T, is different from the pump-pump T-operator introduced recently in the context of optimal control of the pump-probe final state amplitude (see Refs. 15 and 16.)
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20
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85034516807
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note
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2 (is the spatial width corresponding to the absorption width) and applying the previous inequality to the ground state wave function leads to (Equation Presented)
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24
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85034502966
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note
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28
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85034504539
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note
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An alternative to D′ is the I*I* electronic potential energy surface, which would require a probe pulse with a center frequency in the visible region.
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29
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85034503220
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note
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85034500986
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2) in the "instantaneous frequency."
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49
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51
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85034493992
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note
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3, assuming N vibrational levels in each electronic state. The first term accounts for time evolution during pulse overlap. The second and third terms account for the making of the pump and probe time evolution operators and the application of these operators, respectively. The last term accounts for the excited-state time propagation. Thus, the nonperturbative approach has only minimal memory requirements, but is similarly computationally demanding to the first direct perturbative T-calculation method.
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