Analytical and computational study of Fisher and Shannon information entropies in one and three-dimensional spaces for exponential-type potential

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2025-03-25 DOI:10.1140/epjp/s13360-025-06151-0

Ituen B. Okon, Clement A. Onate, Eddy S. William, W. L. Chen, Cecilia N. Isonguyo, Dianabasi N. Akpan, Kaushal R. Purohit, Akaninyene D. Antia, Judith P. Araujo, Aniekan M. Ukpong, Uduakobong S. Okorie, Etido P. Inyang, Edwin S. Eyube, Kizito O. Emeje, Louis E. Akpabio, Eno E. Ituen, Abeer E. Aly, KufreAbasi E. Essien

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引用次数: 0

Abstract

In this work, we study Fisher and Shannon information entropies for homonuclear hydrogen \((H_{2})\) and heteronuclear lithium hydride (LiH) molecules in one and three-dimensional spaces using exponential-type potential by solving Schrödinger wave equation with supersymmetric quantum mechanics approach. The momentum space wave function plots and their probability densities for both molecules at different quantum states are symmetrical and compacted with a unique pattern though both molecules showcase molecular localisation at different nodes of their respective quantum state. The numerical solutions obtained for both molecules satisfy the Bialynicki-Birula and Mycielski (BBM) inequalities for the different dimensions which authenticate the accuracy of both the analytical and computational solutions. The total normalised wave function used for the computation of information entropies for different dimensions was expressed as a hypergeometric function of the Jacobi polynomial.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.