Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei

P. O. Amadi; A. N. Ikot; U. S. Okorie; L. F. Obagboye; G. J. Rampho; R. Horchani; M. C. Onyeaju; H. I. Alrebdi; A. H. Abdel-Aty

doi:10.1016/j.rinp.2022.105744

Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei

P. O. Amadi, A. N. Ikot, U. S. Okorie, L. F. Obagboye, G. J. Rampho, R. Horchani, M. C. Onyeaju, H. I. Alrebdi^*, A. H. Abdel-Aty

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The Shannon entropy, disequilibrium, and complexity measures for n=0,1 in position and momentum space are investigated within the framework of Bohr Hamiltonian for triaxial nuclei with Davidson potential. The effect of the angular momentum quantum number L and that parameter of the minimum potential β_o on the quantum information theoretic measures are studied in detail. The results for the disequilibrium, Shannon entropy, and complexity measures in position and momentum spaces are reported. Finally, the BBM for the Shannon entropy and the minimum inequality relation for the Lopez-Mancini-Calbet C_LMCxC_LMCp⩾1 are validated.

Original language	English
Article number	105744
Journal	Results in Physics
Volume	39
DOIs	https://doi.org/10.1016/j.rinp.2022.105744
Publication status	Published - Aug 2022
Externally published	Yes

Keywords

Bohr Hamiltonian
Complexity measures
Davidson potential
Shannon entropy

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.rinp.2022.105744

Cite this

@article{c386f93ea62546c9a95f6b0af51e927f,

title = "Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei",

abstract = "The Shannon entropy, disequilibrium, and complexity measures for n=0,1 in position and momentum space are investigated within the framework of Bohr Hamiltonian for triaxial nuclei with Davidson potential. The effect of the angular momentum quantum number L and that parameter of the minimum potential βo on the quantum information theoretic measures are studied in detail. The results for the disequilibrium, Shannon entropy, and complexity measures in position and momentum spaces are reported. Finally, the BBM for the Shannon entropy and the minimum inequality relation for the Lopez-Mancini-Calbet CLMCxCLMCp⩾1 are validated.",

keywords = "Bohr Hamiltonian, Complexity measures, Davidson potential, Shannon entropy",

author = "Amadi, {P. O.} and Ikot, {A. N.} and Okorie, {U. S.} and Obagboye, {L. F.} and Rampho, {G. J.} and R. Horchani and Onyeaju, {M. C.} and Alrebdi, {H. I.} and Abdel-Aty, {A. H.}",

note = "Funding Information: This work was supported by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R106), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The authors are thankful to the Deanship of Scientific Research at University of Bisha, Saudi Arabia for supporting this work. Publisher Copyright: {\textcopyright} 2022 The Authors",

year = "2022",

month = aug,

doi = "10.1016/j.rinp.2022.105744",

language = "English",

volume = "39",

journal = "Results in Physics",

issn = "2211-3797",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei

AU - Amadi, P. O.

AU - Ikot, A. N.

AU - Okorie, U. S.

AU - Obagboye, L. F.

AU - Rampho, G. J.

AU - Horchani, R.

AU - Onyeaju, M. C.

AU - Alrebdi, H. I.

AU - Abdel-Aty, A. H.

N1 - Funding Information: This work was supported by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R106), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The authors are thankful to the Deanship of Scientific Research at University of Bisha, Saudi Arabia for supporting this work. Publisher Copyright: © 2022 The Authors

PY - 2022/8

Y1 - 2022/8

N2 - The Shannon entropy, disequilibrium, and complexity measures for n=0,1 in position and momentum space are investigated within the framework of Bohr Hamiltonian for triaxial nuclei with Davidson potential. The effect of the angular momentum quantum number L and that parameter of the minimum potential βo on the quantum information theoretic measures are studied in detail. The results for the disequilibrium, Shannon entropy, and complexity measures in position and momentum spaces are reported. Finally, the BBM for the Shannon entropy and the minimum inequality relation for the Lopez-Mancini-Calbet CLMCxCLMCp⩾1 are validated.

AB - The Shannon entropy, disequilibrium, and complexity measures for n=0,1 in position and momentum space are investigated within the framework of Bohr Hamiltonian for triaxial nuclei with Davidson potential. The effect of the angular momentum quantum number L and that parameter of the minimum potential βo on the quantum information theoretic measures are studied in detail. The results for the disequilibrium, Shannon entropy, and complexity measures in position and momentum spaces are reported. Finally, the BBM for the Shannon entropy and the minimum inequality relation for the Lopez-Mancini-Calbet CLMCxCLMCp⩾1 are validated.

KW - Bohr Hamiltonian

KW - Complexity measures

KW - Davidson potential

KW - Shannon entropy

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SN - 2211-3797

VL - 39

JO - Results in Physics

JF - Results in Physics

M1 - 105744

ER -

Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei

Abstract

Keywords

ASJC Scopus subject areas

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