Energy classical Coulomb binding

The classical nonrelativistic expansion goes over jp- jm . In the case of the loosely bound electron, the expansion in jp IrrP corresponds to expansion in (Za) hence, relativistic corrections are given by the expansion over even powers of Za. As we have seen above, from the explicit expressions for the energy levels in the Coulomb field the same parameter Za also characterizes the binding energy. For this reason, parameter Za is also often called the binding parameter, and the relativistic corrections carry the second name of binding corrections. 

The S -matrix element (4.1) does not take into account the fact that owing to the presence of the field E(t) the second electron can escape over the saddle formed by the Coulomb field and the scalar potential zElt) of the laser field [20]. In effect, this lowers the binding energy of the second electron to the value E02(t) = 021 — 2y/2 I (f). This value can be introduced by hand into the classical distribution (4.27), which thereupon becomes again applicable down to a much lower intensity. This way, fair agreement with the data has been reached [34]. Further discussion of this issue is given in [43]. 

Eq. (2.18)]. As a result of such CT-induced charge delocalization, Coulomb-type repulsions within the cation are significantly reduced, conferring significant electrostatic stabilization on the complex. This additional CT-induced electrostatic stabilization provides an instructive example of the symbiotic interplay between classical and nonclassical contributions to binding energy, which intrinsically makes the separation into independent energy components somewhat problematic. 

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