Table 1 Expectation values and Fisher information entropies for 2D space. \(\:n=0,m=0,R=1.2,{\text{V}}_{0}=0.05,{\text{V}}_{1}=0.44,\mu\:=0.5,\hslash\:=1,q=0.1\).
\(\:\varvec{\alpha\:}\) | \(\langle p^{2} \rangle_{00}\) Eq. (59a) Approx. | \(\langle p^{2} \rangle_{00}\) Eq. (59b) | \(\langle r^{2} \rangle_{00}\) | \(\langle p^{2} \rangle_{00}\times\langle r^{2} \rangle_{00}\geq1\) | \(\:\varvec{I}\left(\varvec{\rho\:}\right)\) | \(\:\varvec{I}\left(\varvec{\gamma\:}\right)\) | \(\:\varvec{I}\left(\varvec{\rho\:}\right)\varvec{I}\left(\varvec{\gamma\:}\right)\ge\:16\) |
|---|---|---|---|---|---|---|---|
0.01 | 0.002541326 | 0.002493106 | 4306.091 | 10.73554 | 0.009972424 | 17224.36284 | 171.7686499 |
0.02 | 0.005416421 | 0.005238612 | 1123.629 | 5.886256 | 0.020954447 | 4494.515626 | 94.18008973 |
0.03 | 0.008594540 | 0.008217203 | 520.585 | 4.277753 | 0.032868811 | 2082.340161 | 68.44404455 |
0.04 | 0.012050080 | 0.011410387 | 304.9067 | 3.479103 | 0.04564155 | 1219.626988 | 55.66566564 |
0.05 | 0.015759959 | 0.014800603 | 202.9748 | 3.004149 | 0.059202413 | 811.8990658 | 48.06638395 |
0.06 | 0.019702921 | 0.018371273 | 146.4707 | 2.690853 | 0.073485090 | 585.8826394 | 43.05363872 |
0.07 | 0.023859253 | 0.022106823 | 111.7205 | 2.469785 | 0.088427292 | 446.8819182 | 39.51655791 |
0.08 | 0.028210634 | 0.025992683 | 88.72661 | 2.306243 | 0.103970733 | 354.9064311 | 36.89988165 |
0.09 | 0.032740034 | 0.030015260 | 72.66152 | 2.180954 | 0.120061041 | 290.6460934 | 34.89527259 |
0.10 | 0.037431630 | 0.034161906 | 60.95576 | 2.082365 | 0.136647626 | 243.8230578 | 33.31784190 |
