Analysis of Quantum-Mechanical States of the Mie-Type Ring Shaped Model via the Fisher's Information Entropy

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Year of Publication: 
2014
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, New campus, P. O. Box 7, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
B. J. Falaye
Applied Theoretical Physics Division, Department of Physics, Federal University Lafia, P. M. B. 146, Lafia, Nigeria
K. J. Oyewumi
Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
M. Hamzavi
Department of Physics, University of Zanjan, Zanjan, Iran
Preferred Abstract (Original): 
In the recent years, information theory of quantum-mechanical systems have aroused the interest of many Theoretical Physicist. This due to the fact that it provides a deeper insight into the internal structure of the systems. Also, It is the strongest support of the modern quantum computation and information, which is basic for numerous technological developments. This study report the any ℓ−state solution of the radial Schr\"{o}dinger equation with the Mie-type ring shaped diatomic molecular potential. Rotational-vibration of some few selected diatomic molecules are given. The probability distribution density of the system which gives the probability density for observing the electron in the state characterized by the quantum numbers (n,l,m) in the Mie-type ring shaped diatomic molecular potential is obtained. Finally, we analyze this distribution via a complementary information measures of a probability distribution called as the Fisher's information entropy.
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Analysis of Quantum-Mechanical ‎States of the Mie-Type Ring Shaped ‎Model via the Fisher's Information ‎Entropy1.09 MB