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 6. Numerical results for uncertainty relation in the ground eigenstates for various values of  B, with n, l = 0, A = 0.5 eV α = 0.13.

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 13.3957 2.51467 2.65936 7.07218 0.270473 0.520070 1.38305 1.91283 0.250000 0.002 13.3105 2.50638 2.65114 7.02855 0.280120 0.529264 1.40315 1.96884 0.250000 0.003 13.2265 2.49819 2.64302 6.98557 0.283053 0.538131 1.42229 2.02292 0.250000 0.004 13.1438 2.49011 2.63500 6.94322 0.298868 0.546688 1.44052 2.07511 0.250000 0.005 13.0624 2.48212 2.62707 6.90148 0.307966 0.554947 1.45788 2.12543 0.250000 0.006 12.9822 2.47423 2.61923 6.86035 0.316879 0.562920 1.47442 2.17390 0.250000 0.007 12.9031 2.46644 2.61147 6.81979 0.325606 0.570619 1.49016 2.22057 0.250000 0.008 12.8252 2.45875 2.60381 6.77981 0.334145 0.578053 1.50514 2.26544 0.250000 0.009 12.7485 2.45114 2.59623 6.74039 0.342497 0.585232 1.51940 2.30856 0.250000 0.010 12.6728 2.44362 2.58873 6.70151 0.350660 0.592165 1.53295 2.34995 0.250000 0.011 12.5982 2.43619 2.58131 6.66317 0.358633 0.598860 1.54584 2.38963 0.250000 0.012 12.5246 2.42885 2.57398 6.62535 0.366417 0.605324 1.55809 2.42764 0.250000 0.013 12.4521 2.42158 2.56672 6.58804 0.374012 0.611565 1.56971 2.46400 0.250000 0.014 12.3806 2.41441 2.55954 6.55122 0.381416 0.617589 1.58074 2.49874 0.250000 0.015 12.3100 2.40731 2.55243 6.51489 0.388630 0.623402 1.59119 2.53188 0.250000 0.016 12.2404 2.40028 2.54540 6.47904 0.395655 0.629011 1.60108 2.56346 0.250000 0.017 12.1717 2.39334 2.53844 6.44365 0.402489 0.634420 1.61044 2.59350 0.250000 0.018 12.1040 2.38647 2.53155 6.40872 0.409134 0.639636 1.61927 2.62203 0.250000 0.019 12.0371 2.37967 2.52473 6.37424 0.415589 0.644662 1.62760 2.64907 0.250000 0.020 11.9711 2.37295 2.51797 6.34019 0.421856 0.649504 1.63543 2.67465 0.250000 0.021 11.9059 2.36630 2.51129 6.30657 0.427933 0.654166 1.64280 2.69879 0.250000 0.022 11.8416 2.35971 2.50467 6.27337 0.433822 0.658652 1.64971 2.72153 0.250000 0.023 11.7781 2.35320 2.49812 6.24058 0.439524 0.662966 1.65617 2.74289 0.250000 0.024 11.7154 2.34675 2.49162 6.20819 0.445039 0.667112 1.66219 2.76289 0.250000 0.025 11.6535 2.34036 2.48519 6.17619 0.450367 0.671094 1.66780 2.78155 0.250000 0.026 11.5923 2.33404 2.47883 6.14458 0.455510 0.674915 1.67300 2.79892 0.250000 0.027 11.5319 2.32779 2.47252 6.11335 0.460467 0.678577 1.67780 2.8150 0.250000 0.028 11.4723 2.32159 2.46627 6.08248 0.465241 0.682086 1.68221 2.82982 0.250000 0.029 11.4133 2.31546 2.46008 6.05198 0.469831 0.685442 1.68624 2.84341 0.250000 0.030 11.3551 2.30938 2.45394 6.02184 0.474240 0.688651 1.68991 2.85579 0.250000