Electron correlation excitation probabilities

The following problem is in a certain sense the inverse of the one treated in the two preceding sections. Consider a photoconductor in which the electrons are excited into the conduction band by a beam of incoming photons. The arrival times of the incident photons constitute a set of random events, described by distribution functions/ or correlation functions gm. If they are independent (Poisson process or shot noise) they merely give rise to a constant probability per unit time for an electron to be excited, and (VI.9.1) applies. For any other stochastic distribution of the arrival events, however, successive excitations are no longer independent and therefore the number of excited electrons is not a Markov process and does not obey an M-equation. The problem is then to find how the statistics of the number of charge carriers is affected by the statistics of the incident photon beam. Their statistical properties are supposed to be known and furthermore it is supposed that they have the cluster property, i.e., their correlation functions gm obey (II.5.8). The problem was solved by Ubbink ) in the form of a... 

Probability of Electron Excitation with Allowance for the Electron Correlation... 

In order to make allowance for the influence of electron correlation on the probability of the / -decay-induced excitation of a molecule, let us use the configuration interaction method. We will consider the configurations that take account only of the single and double electron excitations into the virtual excited orbitals. For the latter we will use the orbitals obtained by the Huzinaga-Arnau method (see above). The wave function of the ground state of the parent molecule is... 

Probabilities of Formation of Daughter Molecules in Ground and in Excited Electronic States with Allowance for Electron Correlation... 

Fig. 5. Distributions of integral probabilities of electron excitations to the energy ranges of [5h, 5(n + 1) eV in fj decay of (a) HT, (b) LiT, (c) NaT, and (d) CH3T, with allowance for the electron correlation.

We have calculated the data presented in the table in collaboration with G. V. Smeloy (Kaplan et al., 1983, 1985). In the MO LCAO approximation we have used the same bases of atomic functions as in calculations of the excitation probabilities of the corresponding molecules (see Section III,B,1). Allowing for electron correlation, calculations of the number of Cl configurations and the atomic bases were the same as those given in Section III,B,2. 

In work by Kaplan et al. (1984) the ji decay in a valine molecule was calculated with allowance for electron correlation. The method of calculation is presented in Section II,C,4. We have taken 50 configurations which give the largest contribution to the excitation probabilities. The results of calculations for valine II are presented in Table VIII (the numbers in parentheses) and in the histogram of Fig. 10. These results have been used by the ITEP group (Boris et al., 1983) in data reduction of their latest series of experiments. (The obtained values of the neutrino rest mass mv are presented in Table I.)... 

The observation of excited products in metal-molecule reactions is mostly limited to the simplest molecules. The formation of excited species is probably much more general and should be probed since the electron transfer can correlate excited-state reagents and excited-state products. In fact, the nascent excited-state products from reactions yielding complex polyatomic systems are quenched by nonadiabatic... 

In the late 1980s, this three-electron excitation was cited by other researchers as a heuristic case to argue that, "as far as we can tell, a multiply excited state such as 3p is virtually inaccessible by single-photon absorption." Yet, small-size (for reasons of economy) SSA calculations show that the state-specific HF result, which is of course obtained from an independent electron model with no electron correlation, produces nonzero values for the probabilities of the three transitions. Furthermore, the order of magnitude of the HF transition probabilities is the same as that from computations that include some part of electron correlation. Specifically, the results of the SSA calculations for the oscillator strengths, using only approximate wavefunctions for the oS, are ... 

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