Thermodynamic functions of Manning-Rosen plus a class of Yukawa potential using Euler MacLaurin Formula

Q4 Social Sciences Revista Mexicana De Fisica E Pub Date : 2022-04-30 DOI:10.31349/revmexfise.19.020204
M. Ramantswana, A. Ikot, G. Rampho, C. Edet, U. Okorie
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引用次数: 0

Abstract

By employing the Nikiforov-Uvarov (NU) method, we solved the time-independent Schrödinger equation (SE) with Manning-Rosen plus a class of Yukawa potential (MRCYP) model. The eigensolutions expressions were obtained and thermodynamic function expressions were also obtained using Euler MacLaurin formula in closed forms. Numerical results of the energy were obtained with respect to different screening parameters and quantum numbers. In addition, the effects of temperature on the thermodynamic functions were discussed for various screening parameters and quantum states. Unique critical temperatures of entropy and specific heat capacity were seen to exist for the selected screening parameters and quantum numbers. Our results are also in sync with the results in literatures and they promise to be relevant in various areas of studies, including atomic, particle and nuclear physics.
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用欧拉麦克劳林公式计算Manning-Rosen和一类汤川势的热力学函数
采用Nikiforov-Uvarov(NU)方法,用Manning Rosen加一类Yukawa势(MRCYP)模型求解了与时间无关的Schrödinger方程(SE)。利用欧拉-麦克劳林公式得到了闭合形式的本征解表达式和热力学函数表达式。获得了不同屏蔽参数和量子数下能量的数值结果。此外,还讨论了不同屏蔽参数和量子态下温度对热力学函数的影响。对于所选择的筛选参数和量子数,熵和比热容的独特临界温度被认为是存在的。我们的结果也与文献中的结果一致,它们有望在原子、粒子和核物理等各个研究领域发挥作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Revista Mexicana De Fisica E
Revista Mexicana De Fisica E 社会科学-科学史与科学哲学
CiteScore
0.80
自引率
0.00%
发文量
14
审稿时长
>12 weeks
期刊介绍: The Revista Mexicana de Física (Rev. Mex. Fis.) publishes original papers of interest to our readers from the physical science com unity. Language may be English or Spanish, however, given the nature of our readers, English is recommended. Articles are classified as follows: Research. Articles reporting original results in physi­cal science. Instrumentation. Articles reporting original contribu­tions on design and construction of scientific instruments. They should present new instruments and techniques oriented to physical science problems solutions. They must also report measurements performed with the described instrument. Reviews. Critical surveys of specific physical science topics in which recent published information is analyzed and discussed. They should be accessible to physics graduate students and non specialists, and provide valuable bibliography to the specialist. Comments. Short papers (four pages maximum) that assess critically papers by others authors previously published in the Revista Mexicana de Física. A comment should state clearly to which paper it refers.
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