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Shannon quantum information entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$, Onicescu energies $O_{\rho,\gamma}$ and complexities $e^SO$ are calculated both in position (subscript $\rho$) and momentum ($\gamma$) spaces…

量子物理 · 物理学 2019-03-08 O. Olendski

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…

量子物理 · 物理学 2023-07-13 H. Shafeekali , 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…

量子物理 · 物理学 2019-04-05 Neetik Mukherjee , Amlan K. Roy

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…

量子物理 · 物理学 2022-08-17 C. O. Edet , F. C. E. Lima , C. A. S. Almeida , N. Ali , M. Asjad

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…

量子物理 · 物理学 2014-09-29 W. A. Yahya , K. J. Oyewumi , K. D. Sen

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…

量子物理 · 物理学 2025-01-07 Vikash Kumar Ojha , Ramkumar Radhakrishnan , Mariyah Ughradar

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…

量子物理 · 物理学 2024-12-25 Ahmed Becir , Mustafa Moumni

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…

量子物理 · 物理学 2023-05-31 F. C. E. Lima , A. R. P. Moreira , C. A. S. Almeida , C. O. Edet , N. Ali

Information-theoretical concepts are employed for the analysis of the interplay between a transverse electric field $\mathscr{E}$ applied to a one-dimensional surface and Robin boundary condition (BC), which with the help of the…

量子物理 · 物理学 2017-04-26 O. Olendski

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 ($k$)…

介观与纳米尺度物理 · 物理学 2018-08-22 O. Olendski

$\mathtt{d}$-dimensional hyperspherical quantum dot with either Dirichlet or Neumann boundary conditions (BCs) allows analytic solution of the Schr\"{o}dinger equation in position space and the Fourier transform of the corresponding wave…

量子物理 · 物理学 2021-04-13 O. Olendski

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…

量子物理 · 物理学 2007-05-23 K. Ch. Chatzisavvas , Ch. C. Moustakidis , C. P. Panos

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…

高能物理 - 唯象学 · 物理学 2023-03-14 C. A. S. Almeida , C. O. Edet , F. C. E. Lima , N. Ali , M. Asjad

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…

量子物理 · 物理学 2017-04-05 J. P. G. Nascimento , V. Aguiar , I. Guedes

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…

量子物理 · 物理学 2018-04-04 Abdelmalek Boumali , Malika Labidi

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…

量子物理 · 物理学 2019-04-26 Neetik Mukherjee , Arunesh Roy , Amlan K. Roy

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…

量子物理 · 物理学 2019-04-15 Abhisek Ghosal , Neetik Mukherjee , Amlan K. Roy

We make use of Shannon entropy ($S$) and Fisher information ($I$) to study the response of atomic density profiles of a spin-orbit coupled Bose-Einstein condensate to changes in the wave number ($\kappa_L$) of the Raman laser that couples…

量子气体 · 物理学 2021-12-28 Golam Ali Sekh , Benoy Talukdar , Supriya Chatterjee , Basir Ahamed Khan

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…

量子物理 · 物理学 2019-04-05 Neetik Mukherjee , Amlan K. Roy

The so-called Darboux III oscillator is an exactly solvable $N$-dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This oscillator can be interpreted as a smooth (super)integrable…

数学物理 · 物理学 2022-12-26 Angel Ballesteros , Ivan Gutierrez-Sagredo
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