$\ell$态Pöschl-Teller型势的量子信息熵
Quantum Information Entropies for the $\ell$-state Pöschl-Teller-type potential
摘要：
本文得到了任意$\ell$的Pöschl-Teller型势的位置-动量不确定性和一些不确定关系。得到了$r^{-2}$、$r^{2}$和$p^{2}$的径向期望值，由此证明了海森堡不确定原理对所考虑的势模型成立. Fisher信息，然后获得，它是观察到的Fisher信息为基础的不确定性关系和Cramer-Rao不等式保持这个偶数的权力潜力。显示了一些数值和图形结果。
英文摘要：
In this study, we obtained the position-momentum uncertainties and some uncertainty relations for the Pöschl-Teller-type potential for any $\ell$. The radial expectation values of $r^{-2}$, $r^{2}$ and $p^{2}$ are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-based uncertainty relation and the Cramer-Rao inequality hold for this even power potential. Some numerical and graphical results are displayed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
