Quantum information entropies for the \(\ell \) -state Pöschl–Teller-type potential
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- 作者：W. A. Yahya ; K. J. Oyewumi ; K. D. Sen
- 关键词：Pöschl–Teller ; type potential ; Schrödinger equation ; Uncertainty relations ; Fisher information ; Cramer–Rao inequality
- 刊名：Journal of Mathematical Chemistry
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：54
- 期：9
- 页码：1810-1821
- 全文大小：433 KB
- 刊物类别：Chemistry and Materials Science
- 刊物主题：Chemistry
Physical Chemistry
Theoretical and Computational Chemistry
Mathematical Applications in Chemistry - 出版者：Springer Netherlands
- ISSN：1572-8897
- 卷排序：54
文摘
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.