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Shannon quantum information entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$, Onicescu energies $O_{\rho,\gamma}$ and R\'{e}nyi entropies $R_{\rho,\gamma}(\alpha)$ are calculated both in the position (subscript $\rho$) and…

Mesoscale and Nanoscale Physics · Physics 2022-04-12 O. Olendski

Shannon entropy ($S$), R{\'e}nyi entropy ($R$), Tsallis entropy ($T$), Fisher information ($I$) and Onicescu energy ($E$) have been explored extensively in both \emph{free} H atom (FHA) and \emph{confined} H atom (CHA). For a given quantum…

Quantum Physics · Physics 2019-04-05 Neetik Mukherjee , Amlan K. Roy

In this paper, we studied, at first, the influence of the energy-dependent potentials on the one-dimensionless Klein-Gordon oscillator. Then, the Shannon entropy and Fisher information of this system are investigated. The position and…

Quantum Physics · Physics 2018-04-04 Abdelmalek Boumali , Malika Labidi

We investigate the quantum information by a theoretical measurement approach of an Aharanov-Bohm (AB) ring with Yukawa interaction in curved space with disclination. It obtained the so-called Shannon entropy, through the eigenfunctions of…

Quantum Physics · Physics 2022-08-17 C. O. Edet , F. C. E. Lima , C. A. S. Almeida , N. Ali , M. Asjad

We analyze the Shannon and Fisher information measures for systems subjected to quartic and symmetric potential wells. The wave functions are obtained by solving the time-independent Schr\"{o}dinger equation, using aspects of perturbation…

Quantum Physics · Physics 2025-01-07 Vikash Kumar Ojha , Ramkumar Radhakrishnan , Mariyah Ughradar

We analyzed the noncommutativity effects on the Fisher information (F_(r,p)) and Shannon entropies (S_(r,p)) of a harmonic oscillator immersed in a time-varying electric field in two and three dimensions. We find the exact solutions of the…

Quantum Physics · Physics 2017-04-05 J. P. G. Nascimento , V. Aguiar , I. Guedes

Information-based uncertainty measures like Shannon entropy, Onicescu energy and Fisher information (in position and momentum space) are employed to understand the effect of \emph{symmetric and asymmetric} confinement in a quantum harmonic…

Quantum Physics · Physics 2019-04-15 Abhisek Ghosal , Neetik Mukherjee , Amlan K. Roy

In this study, the information-theoretic measures in both the position and momentum spaces for the pseudoharmonic potential using Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy and Onicescu information energy are…

Quantum Physics · Physics 2014-09-29 W. A. Yahya , K. J. Oyewumi , K. D. Sen

Relative Fisher information (IR), which is a measure of correlative fluctuation between two probability densities, has been pursued for a number of quantum systems, such as, 1D quantum harmonic oscillator (QHO) and a few central potentials…

Quantum Physics · Physics 2019-04-05 Neetik Mukherjee , Amlan K. Roy

Shannon information entropies in position and momentum spaces and their sum are calculated as functions of Z (Z=2-54) in atoms. Roothaan-Hartree-Fock electron wave functions are used. The universal property S=a+b lnZ is verified. In…

Quantum Physics · Physics 2007-05-23 K. Ch. Chatzisavvas , Ch. C. Moustakidis , C. P. Panos

In this research article, we use the Shannon's formalism to investigate the quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect. For quantum information study, it is necessary to investigate the eigenstates of…

Quantum Physics · Physics 2023-05-31 F. C. E. Lima , A. R. P. Moreira , C. A. S. Almeida , C. O. Edet , N. Ali

Shannon quantum information entropies $S_{x,k}$, Fisher informations $I_{x,k}$, Onicescu energies $O_{x,k}$ and statistical complexities $e^{S_{x,k}}O_{x,k}$ are calculated both in the position (subscript $x$) and momentum ($k$)…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 O. Olendski

We study the two dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the Aharonov-Bohm (AB) effect. We explore various information theoretic…

Quantum Physics · Physics 2024-12-25 Ahmed Becir , Mustafa Moumni

Information entropic measures such as Fisher information, Shannon entropy, Onicescu energy and Onicescu Shannon entropy of a symmetric double-well potential are calculated in both position and momentum space. Eigenvalues and eigenvectors of…

Quantum Physics · Physics 2019-04-26 Neetik Mukherjee , Arunesh Roy , Amlan K. Roy

The net Fisher information measure, defined as the product of position and momentum Fisher information measures and derived from the non-relativistic Hartree-Fock wave functions for atoms with Z=1-102, is found to correlate well with the…

Quantum Physics · Physics 2015-06-26 K. D. Sen , C. P. Panos , K. Ch. Chatzisavvas , Ch. C. Moustakidis

Influence of the transverse uniform magnetic field $\bf B$ on position (subscript $\rho$) and momentum ($\gamma$) Shannon quantum-information entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$ and informational energies…

Quantum Physics · Physics 2023-07-13 H. Shafeekali , O. Olendski

Using Schr\"{o}dinger's formalism, we investigate the quantum eigenstates of the heavy mesons trapped by a point-like defect and by Cornell's potential. One implements this defect to the model considering a spherical metric profile coupled…

High Energy Physics - Phenomenology · Physics 2023-03-14 C. A. S. Almeida , C. O. Edet , F. C. E. Lima , N. Ali , M. Asjad

The Fisher-Shannon information and a statistical measure of complexity are calculated in the position and momentum spaces for the wave functions of the quantum isotropic harmonic oscillator. We show that these magnitudes are independent of…

Chaotic Dynamics · Physics 2009-11-13 Jaime Sanudo , Ricardo Lopez-Ruiz

The Fisher-Shannon and Cramer-Rao information measures, and the LMC-like or shape complexity (i.e., the disequilibrium times the Shannon entropic power) of hydrogenic stationary states are investigated in both position and momentum spaces.…

Quantum Physics · Physics 2010-11-15 J. S. Dehesa , S. Lopez-Rosa , D. Manzano

In this work, the probability uncertainties related to a stationary quantum system with solitonic mass distribution when subjected to deformable hyperbolic potentials are studied. Shannon's entropy and Fisher's information of a…

Quantum Physics · Physics 2022-06-08 F. C. E. Lima
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