Information-theoretic measures and thermodynamic properties under magnetic and Aharonov–Bohm flux fields
We investigated the effects of external magnetic and Aharonov–Bohm flux fields on the thermodynamic properties, Fisher, Shannon and Rényi information-theoretic measures using the non-relativistic Schrödinger equation with a Varshni-type potential. We adopted the parametric Nikiforov–Uvarov approach...
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| Published in | The European physical journal. D, Atomic, molecular, and optical physics Vol. 77; no. 7 |
|---|---|
| Main Authors | , , , , , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.07.2023
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1434-6060 1434-6079 |
| DOI | 10.1140/epjd/s10053-023-00718-1 |
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| Abstract | We investigated the effects of external magnetic and Aharonov–Bohm flux fields on the thermodynamic properties, Fisher, Shannon and Rényi information-theoretic measures using the non-relativistic Schrödinger equation with a Varshni-type potential. We adopted the parametric Nikiforov–Uvarov approach to obtain the analytical bound states in closed form. The thermodynamic functions such as the free energy, specific heat capacity, vibrational entropy and mean energy were analyzed. Also, the results for the 2D Fisher's information-theoretic measure obey the inequality
I
ρ
I
γ
≥
16
. The Rényi entropies sum applied to lithium hydride (LiH) diatomic molecule obeys the inequality
R
2
ρ
+
R
2
/
3
γ
≥
4.19926 for 2D system. Also, the global Shannon entropies sum inequality for the LiH molecule is verified. The applications of the external fields were found to strongly influence the splitting of the energy overlaps, the thermodynamic functions and the information-theoretic measures. The results may aid the understanding of the dynamics of quantum particles and molecules in external fields.
Graphical abstract |
|---|---|
| AbstractList | We investigated the effects of external magnetic and Aharonov–Bohm flux fields on the thermodynamic properties, Fisher, Shannon and Rényi information-theoretic measures using the non-relativistic Schrödinger equation with a Varshni-type potential. We adopted the parametric Nikiforov–Uvarov approach to obtain the analytical bound states in closed form. The thermodynamic functions such as the free energy, specific heat capacity, vibrational entropy and mean energy were analyzed. Also, the results for the 2D Fisher's information-theoretic measure obey the inequality
I
ρ
I
γ
≥
16
. The Rényi entropies sum applied to lithium hydride (LiH) diatomic molecule obeys the inequality
R
2
ρ
+
R
2
/
3
γ
≥
4.19926 for 2D system. Also, the global Shannon entropies sum inequality for the LiH molecule is verified. The applications of the external fields were found to strongly influence the splitting of the energy overlaps, the thermodynamic functions and the information-theoretic measures. The results may aid the understanding of the dynamics of quantum particles and molecules in external fields.
Graphical abstract We investigated the effects of external magnetic and Aharonov–Bohm flux fields on the thermodynamic properties, Fisher, Shannon and Rényi information-theoretic measures using the non-relativistic Schrödinger equation with a Varshni-type potential. We adopted the parametric Nikiforov–Uvarov approach to obtain the analytical bound states in closed form. The thermodynamic functions such as the free energy, specific heat capacity, vibrational entropy and mean energy were analyzed. Also, the results for the 2D Fisher's information-theoretic measure obey the inequality IρIγ≥16. The Rényi entropies sum applied to lithium hydride (LiH) diatomic molecule obeys the inequality R2ρ+R2/3γ≥ 4.19926 for 2D system. Also, the global Shannon entropies sum inequality for the LiH molecule is verified. The applications of the external fields were found to strongly influence the splitting of the energy overlaps, the thermodynamic functions and the information-theoretic measures. The results may aid the understanding of the dynamics of quantum particles and molecules in external fields. |
| ArticleNumber | 143 |
| Author | Osafile, O. E. Okon, I. B. Omugbe, E. Jahanshir, A. Eyube, E. S. Njoku, I. J. Ikot, A. N. Edet, C. O. Onate, C. A. William, E. S. Horchani, R. |
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| Copyright_xml | – notice: The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Phys.2012201212010.5402/2012/201525 OnateCAOnyeajuMCAbolarinwaALukmanAFSci. Rep.202010175422020NatSR..1017542O10.1038/s41598-020-73372-x IkotANOkorieUSOsobonyeGAmadiPOEdetCOSitholeMJRamphoGJSeverRHeliyon20206e0373810.1016/j.heliyon.2020.e03738 EdetCOIkotANBiointerface Res. App. Chem.2021124126413910.33263/BRIAC123.41264139 EstanonCRAquinoNPuertas-CentenoDDehesaJSInt. J. Quant. Chem.2020120e2619210.1002/qua.26192 OmugbeEOsafileOEOkonIBEnaibeEAOnyeajuMCMol. Phys.2021119e19091632021MolPh.11909163O10.1080/00268976.2021.1909163 NathDRoyAKInt. J. Quant. Chem.2021121e2661610.1002/qua.26616 OlendskiOInt. J. Quant. Chem.2021121e2645510.1002/qua.26455 OluwadareOJOyewumiKJChinese J. Phys.20175524222017ChJPh..55.2422O373247010.1016/j.cjph.2017.10.007 KarayerHEur. Phys. J. Plus20201357010.1140/epjp/i2019-12828-2 OmugbeEOsafileOEOkonIBEur. Phys. J. Plus202113674010.1140/epjp/s13360-021-01712-5 RomeraEDehesaJSJ. Chem. Phys.200412089062004JChPh.120.8906R10.1063/1.1697374 CostaMGoldbergALPengCKPhys. 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| SubjectTerms | Applications of Nonlinear Dynamics and Chaos Theory Atomic Entropy (Information theory) Free energy Information theory Lithium hydrides Magnetic properties Mathematical analysis Molecular Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum Information Technology Quantum Physics Regular Article – Quantum Information Schrodinger equation Spectroscopy/Spectrometry Spintronics Thermodynamic properties Thermodynamics |
| Title | Information-theoretic measures and thermodynamic properties under magnetic and Aharonov–Bohm flux fields |
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