The Effects of Non-linearity on the Solutions of Manning-Rosen and Hulthén Three-Dimensional Potentials Using Quantum Supersymmetry and N–U Methods: Application to CO\(^\mathbf{+}\), BO and CN Diatomic Molecules

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2025-02-05 DOI:10.1007/s00601-025-01984-y

Abdeslam Haddouche, Rabia Yekken

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引用次数: 0

Abstract

The three-dimensional Schrödinger equation, where a non-linearity is caused by the introduction of an energy-dependent potential, is solved in the case of Energy-Dependent Manning-Rosen Potential (EDMRP) by means of extended quantum supersymmetry (EQS) combined with shape invariance, and Nikiforov–Uvarov (N–U) methods, using in both cases the Pekeris approximation for the centrifugal term. On the one hand, after determining the potential parameters according to experimental data, EQS and N–U results are compared to the numerical ones to show the effectiveness of our calculations. On the other hand, the effects of the non-linearity introduced via energy-dependent potentials in the Schrödinger equation are shown through a comparison made between energy-dependent and position-only-dependent cases of the Manning-Rosen potential. We considered some diatomic molecules CO\(^{+}\), BO, and CN with the experimental values of their potential parameters. Our results allowed us to consider, as a particular case, the three-dimensional energy-dependent Hulthén potential.

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非线性对量子超对称和N-U方法解Manning-Rosen和hulth三维势的影响＆在CO \(^\mathbf{+}\)、BO和CN双原子分子上的应用

三维Schrödinger方程，其中非线性是由引入能量依赖的势引起的，在能量依赖的曼宁-罗斯势（EDMRP）的情况下，通过扩展量子超对称（EQS）结合形状不变性和Nikiforov-Uvarov （N-U）方法求解，在两种情况下使用离心项的Pekeris近似。一方面，根据实验数据确定电位参数后，将EQS和N-U结果与数值结果进行对比，以证明计算的有效性。另一方面，通过对曼宁-罗森势的能量依赖和位置依赖情况的比较，表明了Schrödinger方程中由能量依赖的势引入的非线性的影响。我们考虑了一些双原子分子CO \(^{+}\)， BO和CN及其电位参数的实验值。我们的结果允许我们考虑，作为一个特殊的例子，三维能量依赖的hulthsamn势。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).