Shannon Entropy and Complexity Measures for Generalized Dunkl Oscillator

Authors

P. O. Amadi, Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau, Perlis 02600, Malaysia
A. N. Ikot, Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, NigeriaFollow
U. S. Okorie, Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria
R. Horchani, Department of Physics, University of South Africa, Florida 1710, Johannesburg-South Africa
M. C. Onyeaju, Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau, Perlis 02600, Malaysia.

Corresponding Author

A. N. Ikot

Authors ORCID

1 Akpan Ndem Ikot (0000-0002-1078-262X) 2 ridha horchani (0000-0001-7603-2904) 3 Uduakobong Okorie (0000-0002-5660-0289) 4 Precious O. Amadi (0000-0003-3691-3891)

Document Type

Original Article

Abstract

In this paper, the theoretic information theory within the framework of Dunkl-Schrodinger equation is investigated. The effect of on Shannon entropy, the disequilibrium and the Lopez-Mancini-Calbet (C_LMC) complexity measure for the ground and first excited states are reported in details in position and momentum spaces. This study also validated the Bialynicki-Birula and Mycielski (BBM) for the Shannon entropy in the ground and first excited state.

Keywords

Dunkle-Schrodinger equation, Shannon entropy, Disequilibrium, Lopez-Mancini-Calbet (C_LMC)complexity, Complexity measure, Harmonic oscillator, Bialynicki-Birula and Mycielski (BBM)

How to Cite This Article

Amadi, P. O.; Ikot, A. N.; Okorie, U. S.; Horchani, R.; and Onyeaju, M. C. (2024) "Shannon Entropy and Complexity Measures for Generalized Dunkl Oscillator," Polytechnic Journal: Vol. 14: Iss. 2, Article 7.
DOI: https://doi.org/10.59341/2707-7799.1838