Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential

Ituen B Okon,Cecilia N Isonguyo,Akaninyene D Antia,Akpan N Ikot,Oyebola O Popoola

Table 5. Numerical results for uncertainty relation in the ground eigenstates for various values of  B, with n, l = 0, A = 0.5 eV α = 0.12.

B $\left\langle {r}^{2}\right\rangle $ $\left\langle r\right\rangle $ Δ (r) (Δr)2 $\left\langle {p}^{2}\right\rangle $ Δ (p) ${\rm{\Delta }}(r){\rm{\Delta }}(p)\geqslant \tfrac{{\hslash }}{2}$ (Δr)2 (Δp)2 min $\left\{{({\rm{\Delta }}r)}^{2}{({\rm{\Delta }}p)}^{2}\right\}$ 0.001 16.0787 2.76177 2.90712 8.45134 0.262168 0.512023 1.48851 2.21567 0.250000 0.002 15.9690 2.75202 2.89748 8.39540 0.272716 0.522222 1.51313 2.28956 0.250000 0.003 15.7551 2.74242 2.88797 8.34035 0.283053 0.532027 1.53648 2.36076 0.250000 0.004 15.6507 2.73294 2.87857 8.28616 0.293177 0.541458 1.55863 2.42931 0.250000 0.005 15.6507 2.72358 2.86929 8.23283 0.303086 0.550532 1.57964 2.49526 0.250000 0.006 15.5480 2.71435 2.86013 8.18032 0.312779 0.559266 1.59957 2.55864 0.250000 0.007 15.4477 2.70524 2.85107 8.12862 0.322255 0.567674 1.61848 2.61948 0.250000 0.008 15.3475 2.69625 2.84213 8.07770 0.331511 0.575769 1.63641 2.67785 0.250000 0.009 15.2495 2.68737 2.83329 8.02755 0.340548 0.583564 1.65341 2.73376 0.250000 0.010 15.1531 2.67861 2.82456 7.97815 0.349364 0.591070 1.66951 2.78728 0.250000 0.011 15.1531 2.66995 2.81593 7.92947 0.357959 0.598296 1.68476 2.83842 0.250000 0.012 14.9646 2.66140 2.81593 7.92947 0.366332 0.605253 1.69919 2.88725 0.250000 0.013 12.2407 2.65296 2.81593 5.20251 0.374483 0.611950 1.39580 1.94825 0.250000 0.014 14.7816 2.64461 2.79063 7.78763 0.382412 0.618395 1.72571 2.97809 0.250000 0.015 14.6921 2.63637 2.78239 7.74170 0.390119 0.624595 1.73787 3.02019 0.250000 0.016 14.6039 2.62822 2.77423 7.69641 0.397604 0.630558 1.74932 3.06012 0.250000 0.017 14.5176 2.62017 2.76617 7.65175 0.404867 0.636291 1.76010 3.09794 0.250000 0.018 14.4313 2.61221 2.75821 7.60771 0.411908 0.641800 1.77022 3.13367 0.250000 0.019 14.3468 2.60434 2.75032 7.56426 0.418728 0.647091 1.77971 3.16737 0.250000 0.020 14.2635 2.59656 2.74252 7.52140 0.425327 0.652171 1.78859 3.19906 0.250000 0.021 14.1813 2.58887 2.73479 7.47912 0.431706 0.657043 1.79688 3.22878 0.250000 0.022 14.1003 2.58126 2.72715 7.43740 0.437866 0.661714 1.80460 3.25658 0.250000 0.023 14.0203 2.57374 2.71960 7.39623 0.443806 0.666187 1.81177 3.28249 0.250000 0.024 13.9415 2.56629 2.71212 7.35560 0.449529 0.670469 1.81839 3.30656 0.250000 0.025 13.8636 2.55893 2.70471 7.31549 0.455035 0.674563 1.82450 3.32881 0.250000 0.026 13.7868 2.55165 2.69738 7.27590 0.460325 0.678472 1.83010 3.34928 0.250000 0.027 13.7110 2.54444 2.69013 7.23681 0.465401 0.682202 1.83522 3.36801 0.250000 0.028 13.6362 2.53731 2.68294 7.19821 0.470262 0.685756 1.83985 3.38505 0.250000 0.029 13.5623 2.53025 2.67583 7.16010 0.474911 0.689137 1.84402 3.40041 0.250000 0.030 13.4893 2.52327 2.66879 7.12245 0.479349 0.692350 1.84774 3.41414 0.250000