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外磁场和阿哈罗诺夫 - 玻姆场中含赝调和势的薛定谔方程的超统计

Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields.

作者信息

Ikot A N, Okorie U S, Osobonye G, Amadi P O, Edet C O, Sithole M J, Rampho G J, Sever R

机构信息

Department of Physics, University of South Africa, Florida, Johannesburg, 1710, South Africa.

Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria.

出版信息

Heliyon. 2020 Apr 8;6(4):e03738. doi: 10.1016/j.heliyon.2020.e03738. eCollection 2020 Apr.

DOI:10.1016/j.heliyon.2020.e03738
PMID:32300669
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7150520/
Abstract

In this work, the thermodynamic properties of pseudo-harmonic potential in the presence of external magnetic and Aharanov-Bohm fields are investigated. The effective Boltzmann factor in the superstatistics formalism was used to obtain the thermodynamic properties such as Helmholtz free energy, Internal energy, entropy and specific heat capacity of the system. In addition, the thermal properties of some selected diatomic molecules of and using their experimental spectroscopic parameters and the effect of varying the deformation parameter of were duly examined.

摘要

在这项工作中，研究了在外部磁场和阿哈罗诺夫 - 玻姆场存在下伪谐波势的热力学性质。利用超统计形式中的有效玻尔兹曼因子来获得系统的热力学性质，如亥姆霍兹自由能、内能、熵和比热容。此外，还利用一些选定双原子分子的实验光谱参数对其热性质以及改变某一分子变形参数的影响进行了适当研究。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/966dbeac51fc/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/a2d9de6d16f2/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/40bb77f71224/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/22e241e20a48/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/fe687b60d17b/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/87d8d380aae9/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/966dbeac51fc/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/a2d9de6d16f2/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/40bb77f71224/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/22e241e20a48/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/fe687b60d17b/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/87d8d380aae9/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8e1c/7150520/966dbeac51fc/gr6.jpg

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Nonrelativistic solutions of Schrödinger equation and thermodynamic properties with the proposed modified Mobius square plus Eckart potential.

本文引用的文献

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J Mol Model. 2018 Sep 21;24(10):289. doi: 10.1007/s00894-018-3811-8.
2
Superstatistical mechanics of tracer-particle motions in turbulence.湍流中示踪粒子运动的超统计力学。
Phys Rev Lett. 2003 Aug 22;91(8):084503. doi: 10.1103/PhysRevLett.91.084503. Epub 2003 Aug 21.
3
Interpretation of the nonextensivity parameter q in some applications of tsallis statistics and Levy distributions.
薛定谔方程的非相对论解以及具有所提出的修正莫比乌斯平方加埃卡特势的热力学性质。
Heliyon. 2022 Feb 15;8(2):e08952. doi: 10.1016/j.heliyon.2022.e08952. eCollection 2022 Feb.
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Analyzing the Effects of Topological Defect (TD) on the Energy Spectra and Thermal Properties of LiH, TiC and I Diatomic Molecules.分析拓扑缺陷（TD）对LiH、TiC和I双原子分子能谱及热性质的影响。
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Tsallis统计和Levy分布某些应用中q非广延性参数的解释
Phys Rev Lett. 2000 Mar 27;84(13):2770-3. doi: 10.1103/PhysRevLett.84.2770.