Global and local information-theoretic measures of the inversely quadratic Hellmann-Kratzer potential

被引：0
|
作者：
Njoku, Ifeanyi J. [1 ]
Onyenegecha, Chibueze P. [1 ]
机构：
[1] Fed Univ Technol Owerri, Dept Phys, PMB 1526, Owerri, Imo, Nigeria
来源：
CHINESE JOURNAL OF PHYSICS | 2024年 / 88卷
关键词：
Shannon entropy; Onicescu information energy; Fisher information; Heisenberg uncertainty relation; Inversely quadraticHellmann-Kratzer; potential; FISHER INFORMATION; SCHRODINGER-EQUATION; ENTROPIES; POSITION; ENERGY;
D O I：
10.1016/j.cjph.2023.10.014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The information-theoretic measures of the inversely quadratic Hellmann-Kratzer (IQHK) potential are reported in this paper. The Dirac equation is solved via the generalized form of the NikiforovUvarov (NU) method, and a non-relativistic mapping is used to derive the non-relativistic energy and normalized wave function of the IQHK potential. The Shannon entropy, Onicescu information energy, Fisher information, and uncertainty relations for the IQHK potential are presented for two low-lying states (n = 0, 1). The results of the study show that the probability density for the n = 0 state is more localized than the probability density for the n = 1 state. The Beckner-BialynickiBirula-Mycielsky (BBM) inequality for the total Shannon entropy, the Stam-Cramer-Rao inequality for the Fisher information product, and the Heisenberg uncertainty relation are satisfied by the system. Finally, some of the states experience squeezing phenomena in position space.
引用
收藏
页码：594 / 608
页数：15
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