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This is due to the fact that, for continuum states, we must specify the probability of the particle being in range d of some set of observables that we are free to choose. That is, we must specify the oscillator strength for the transition aP as df (k, )"(2m/ )(E /k)G( )"1 "e k r"a2" d . (121) ? E? The quantity df /d is referred to as the generalized oscillator strength density (GOSD) and the ? different choices of are referred to as “ -scale normalization” [48]. The quantity G( ) is the number of continuum states per interval d .
The quasistatic potentials described in this X C Report are invalid under strong ion coupling conditions. 4 below). 4. Double counting. The common problem of double counting [15] plasma perturbations on the atom has not been addressed in a systematic way. Some double counting is inevitable in the stochastic model as a result of treating the quasistatic and fluctuating perturbations with separate interaction terms » (r) and » (r, t). This issue is closely related to the previous issue of treating the ions self-consistently.
S. C. Weisheit / Physics Reports 302 (1998) 1— 65 33 Fig. 5. The energy of the a"3 state of He> versus plasma density for various screening models. In all screening models, continuum lowering eliminates this state near n "10 cm\. At these lower densities the degeneracy corrected Debye C model (DD) does not deviate appreciably from the classical Debye model (D) and only the classical result is shown. cross section from Eq. (114) is shown in Fig. 7 where it is compared with a simpler Born result for a similar Debye potential.