具有逆二次(IQ)势的各向同性谐振子(IHO)和具有逆二次元(IQ)电位的伪谐波(PH)的不确定度关系和热性质

Q2 Physics and Astronomy
C. Onate, I. Okon, G. O. Jude, M. Onyeaju, A. Antia
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引用次数: 1

摘要

各向同性谐振子与反二次势的组合以及伪谐振与反二次势的组合的解尚未报道,尽管单独的势已经得到了关注。如上所述,本研究的重点是电势组合的解,使用参数Nikiforov–Uvarov(PNV)作为传统技术来获得能量方程及其相应的未归一化径向波函数。为了推导这些势的应用,还通过配分函数计算了期望值、位置和动量的不确定性以及热力学性质,如平均能量、熵、热容和自由平均能量。结果表明,PHIQ的光谱高于IHOIQ的光谱。不确定度的乘积符合海森堡不确定度关系/原理。最后,两个势的热性质表现出相似的行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Uncertainty Relation and the Thermal Properties of an Isotropic Harmonic Oscillator (IHO) with the Inverse Quadratic (IQ) Potentials and the Pseudo-Harmonic (PH) with the Inverse Quadratic (IQ) Potentials
The solutions for a combination of the isotropic harmonic oscillator plus the inversely quadratic potentials and a combination of the pseudo-harmonic with inversely quadratic potentials has not been reported, though the individual potentials have been given attention. This study focuses on the solutions of the combination of the potentials, as stated above using the parametric Nikiforov–Uvarov (PNV) as the traditional technique to obtain the energy equations and their corresponding unnormalized radial wave functions. To deduce the application of these potentials, the expectation values, the uncertainty in the position and momentum, and the thermodynamic properties, such as the mean energy, entropy, heat capacity, and the free mean energy, are also calculated via the partition function. The result shows that the spectra for the PHIQ are higher than the spectra for the IHOIQ. It is also shown that the product of the uncertainties obeyed the Heisenberg uncertainty relation/principle. Finally, the thermal properties of the two potentials exhibit similar behaviours.
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来源期刊
Quantum Reports
Quantum Reports Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
3.30
自引率
0.00%
发文量
33
审稿时长
10 weeks
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