Photoelectron spectra from the dynamics and their transient counterparts

9 Photoelectron spectra from the dynamics and their transient counterparts 

In the present framework, all the dynamical information, including that of electrons, is formally contained in the nuclear wavefunctions Xn(R,t) and Xc,k R,t), the coefficients of the stationary electronic wavefunctions in Eq. (3.51). After numerically solving Eq. (3.69) for the time-evolution of the nuclear wavefunctions, x R t) Xkim R, t), we may obtain the total ion population at any time for any given pump probe delay time tpr, 

To emphasize that Xc,k R,t) is also a function of the parameter tpr, the pump-probe delay time when the probe laser ionizes the system, we have explicitly included it in Xc,ki R,t, tpT )- 

The photoelectron kinetic energy (or wave number) dependent photoelectron angular distribution for ionization to state c, Pc,kj(( k, l k,t, tpr), and the photoelectron energy distribution for ionization to state c, Pc ek,t]tpr), may be defined as parts of Eq. (3.87), 

The energy-integrated photoelectron angular distribution for state c is given as 

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