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多参数指数势的本征解及热学性质

Eigen-solutions and thermal properties of multi-parameter exponential potential.

作者信息

Onate C A, Okon I B, Onyeaju M C, Omugbe E, Antia A D, Araujo J P, Wen-Li Chen

机构信息

Department of Physical Sciences, Reedemer's University, Ede, Nigeria.

Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria.

出版信息

Heliyon. 2022 Aug 19;8(9):e10343. doi: 10.1016/j.heliyon.2022.e10343. eCollection 2022 Sep.

DOI:10.1016/j.heliyon.2022.e10343
PMID:36097478
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9463593/
Abstract

In this work, we determined an approximate eigen solutions of Modified multi-parameter exponential potential using supersymmetric quantum mechanics approach (SUSY) with improved Greene-Aldrich approximation to the centrifugal term. The energy equation and its corresponding normalised radial wave function were fully obtained. The proposed potential reduces to other useful potentials like Rosen-Morse, Hellmann, Yukawa and Coulomb potential as special cases. The thermodynamic properties like the vibrational mean energy ( ), Vibrational heat capacity ( ), vibrational entropy ( ) and vibrational free energy ( ) of the interacting potential were studied via partition function ( ) obtained from the resulting energy equation. This study was applied to three diatomic molecules: Chromium hydride (CrH), Titanium Hydride (TiH) and Thiocynate (ScN). To ascertain the high degree of our analytical mathematical accuracy, we compared the results of special cases with an existing results. These were found to be in excellent agreement with the existing results.

摘要

在这项工作中，我们使用超对称量子力学方法（SUSY）并对离心项采用改进的格林 - 奥尔德里奇近似，确定了修正多参数指数势的近似本征解。完整地得到了能量方程及其相应的归一化径向波函数。所提出的势在特殊情况下可简化为其他有用的势，如罗森 - 莫尔斯势、赫尔曼势、汤川势和库仑势。通过由所得能量方程得到的配分函数，研究了相互作用势的热力学性质，如振动平均能量（ ）、振动热容（ ）、振动熵（ ）和振动自由能（ ）。该研究应用于三种双原子分子：氢化铬（CrH）、氢化钛（TiH）和硫氰酸盐（ScN）。为了确定我们解析数学精度的高度，我们将特殊情况的结果与现有结果进行了比较。发现这些结果与现有结果非常吻合。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/02716070fbc9/gr14.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/d01fa9f694e2/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/b86d7c83bd96/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/f17f672d6fd6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/caf52e1edefe/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/b556b4c38487/gr13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/02716070fbc9/gr14.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/70d8866a43e9/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/afbed6be3f58/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/d2647077b8c1/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/31722c7aefce/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/10b18bebcab8/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/b6e342ab2f42/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/04fe3261b55b/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/ba82aae00783/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/d01fa9f694e2/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/b86d7c83bd96/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/f17f672d6fd6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/caf52e1edefe/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/b556b4c38487/gr13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/54e6/9463593/02716070fbc9/gr14.jpg

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本文引用的文献

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