Information theoretical uncertainty-like

In this section, we present some general results on the information theoretical uncertainty-like measures applicable to the standard model systems of hydrogen-like atoms and the isotropic harmonic oscillator. The characteristic features of the spherically confined systems will be highlighted. 

Figure 5 Sf(R) versus R for the confined hydrogen-like atoms. For the confined hydrogen atom, similar behavior is also displayed by the other commonly used uncertainty-like information theoretical measures, as shown in the inset.

In a detailed theoretical and experimental study, Rothman, Crouch, and Ingle have described several sources of instrumental uncertainties and shown their net effect on the precision of absorbance or transmittance measurements. These uncertainties fall into one of three categories depending on how they are affected by the magnitude of the photocurrent and thus T. For Case 1 uncertainties, the precision is independent of T. that is, s j-is equal to a constant For Case II uncertainties, the precision is directly proportional to VT + T. Finally, Case III uncertainties are directly proportional to T. Table 13-3 summarizes information about the sources of these three types of uncertainty and the kinds of instruments where each is likely to be encountered. 

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