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 4. Numerical results for uncertainty relation in the ground eigenstates for various values of  B, with n, l = 0, A = 0.5 eV α = 0.1.

B $\left\langle {r}^{2}\right\rangle $ $\left\langle r\right\rangle $ Δ (r) (Δr)2 $\left\langle {p}^{2}\right\rangle $ Δ (p) ${\rm{\Delta }}(r){\rm{\Delta }}(p)\geqslant \tfrac{{\hslash }}{2}$ ${({\rm{\Delta }}r)}^{2}{({\rm{\Delta }}p)}^{2}$ min $\left\{{({\rm{\Delta }}r)}^{2}{({\rm{\Delta }}p)}^{2}\right\}$ 0.001 24.2592 3.40874 3.55523 2.90712 0.96354 0.490803 1.74492 3.04474 0.250000 0.002 24.0642 3.39462 3.54130 2.89748 1.01546 0.503851 1.78429 3.18368 0.250000 0.003 23.8731 3.38073 3.52757 2.88797 1.06619 0.516283 1.82123 3.31687 0.250000 0.004 23.6857 3.36707 3.51406 2.87857 1.11572 0.528139 1.85591 3.44440 0.250000 0.005 23.5019 3.35362 3.50074 2.86929 1.16403 0.539452 1.88848 3.56635 0.250000 0.006 23.3216 3.34038 3.48762 2.86013 1.21111 0.550253 1.91907 3.68284 0.250000 0.007 23.1447 3.32735 3.47469 2.85107 1.25695 0.560570 1.94781 3.79395 0.250000 0.008 22.9711 3.31451 3.46195 2.84213 1.30155 0.570427 1.97479 3.89979 0.250000 0.009 22.8006 3.30187 3.44939 2.83329 1.34488 0.579846 2.00011 4.00046 0.250000 0.010 22.6332 3.28941 3.43700 2.82456 1.38696 0.588847 2.02387 4.09604 0.250000 0.011 22.4689 3.27714 3.42479 2.81593 1.42777 0.597447 2.04613 4.18666 0.250000 0.012 22.3074 3.26505 3.41275 2.80740 1.46731 0.605664 2.06698 4.27240 0.250000 0.013 22.1487 3.25312 3.40087 2.28090 1.50558 0.613512 2.08647 4.35337 0.250000 0.014 21.9928 3.24137 3.38914 2.79063 1.54259 0.621005 2.10468 4.42967 0.250000 0.015 21.8395 3.22978 3.37758 2.78239 1.57832 0.628157 2.12165 4.50139 0.250000 0.016 21.6888 3.21835 3.36616 2.77424 1.61278 0.634977 2.13744 4.56864 0.250000 0.017 21.5406 3.20707 3.35495 2.76618 1.64598 0.641479 2.15209 4.63151 0.250000 0.018 21.3949 3.19595 3.34377 2.75821 1.67791 0.647671 2.16567 4.69011 0.250000 0.019 21.2515 3.18497 3.33279 2.75032 1.70858 0.653564 2.17819 4.74452 0.250000 0.020 21.1105 3.17414 3.32195 2.74252 1.73799 0.659166 2.18971 4.79485 0.250000 0.021 20.9716 3.16344 3.31123 2.73480 1.76616 0.664486 2.20027 4.84118 0.250000 0.022 20.8350 3.15288 3.30066 2.72716 1.79308 0.669531 2.20989 4.88362 0.250000 0.023 20.7005 3.14246 3.29020 2.71960 1.81877 0.674309 2.21861 4.92225 0.250000 0.024 20.5681 3.13217 3.27987 2.71212 1.84322 0.678827 2.22647 4.95716 0.250000 0.025 20.4377 3.12200 3.26967 2.70472 1.86645 0.683091 2.23348 4.98845 0.250000 0.026 20.3092 3.11196 3.25958 2.69739 1.88846 0.687108 2.23969 5.01621 0.250000 0.027 20.1827 3.10204 3.24962 2.69013 1.90927 0.690883 2.24511 5.04052 0.250000 0.028 20.0581 3.09224 3.23976 2.68295 1.92889 0.694423 2.24977 5.06146 0.250000 0.029 19.9353 3.08256 3.23003 2.67584 1.94732 0.697731 2.25369 5.07913 0.250000 0.030 19.8142 3.07299 3.22039 2.66879 1.96456 0.700815 2.25690 5.09361 0.250000