Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chemical Physics Letters

The Fisher information of single-particle systems with a central potential

E. Romera, Pablo Sánchez-Moreno, J. S. Dehesa

Published Sep 16, 2005• 184 citations
Publisher
DOI
10.1016/j.cplett.2005.08.032

Related papers

Relative Fisher information in some central potentials

Neetik Mukherjee, Amlan K. Roy

arXiv:1904.02392•Annals of Physics•Oct 3, 2018•11 citations

Uncertainty relation for Fisher information of D-dimensional single-particle systems with central potentials

E. Romera, Pablo Sánchez-Moreno, J. S. Dehesa

An uncertainty Fisher information relation in quantum mechanics is derived for multidimensional single-particle systems with central potentials. It is based on the concept of Fisher information in the two complementary position and momentum spaces, which is a gradient functional of the corresponding probability distributions. The lower bound of the product of position and momentum Fisher informations is shown to depend on the orbital and magnetic quantum numbers of the physical state and the space dimensionality. Applications to various elementary systems is discussed.

Journal of Mathematical Physics•Oct 1, 2006•93 citations

Improvement of the Heisenberg and Fisher-information-based uncertainty relations forD-dimensional central potentials

Pablo Sánchez-Moreno, Rosario González‐Férez, J. S. Dehesa

The Heisenberg and Fisher-information-based uncertainty relations are improved for stationary states of single-particle systems in a D -dimensional central potential. The improvement increases with the squared orbital hyperangular quantum number. The new uncertainty relations saturate for the isotropic harmonic oscillator wavefunction.

New Journal of Physics•Dec 21, 2006•58 citations

Quantum Fisher Information of Localization Transitions in One-Dimensional Systems

Xin Liu, Z. Z. Du, W. W. Cheng +1 more

International Journal of Theoretical Physics•Feb 3, 2015•5 citations

Two-Particle Systems: Central Potentials

Alberto Galindo, P. Pascual

Springer eBooks•Jan 1, 1990•0 citations

Fisher information and quantum entropies of a 2D system under a pair of non-central scalar and vector potentials

Ahmed Becir, Mustafa Moumni

In this study, we examine a 2 dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the (AB) effect. We explore various information-theoretic measures, including Fisher information, Shannon entropy, Tsallis entropy, and Rényi entropy. Our numerical results show that the Fisher information increases with an increase in dissociation energy and decreases with rising dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers. In contrast, the Shannon entropy, the Tsallis entropy, and the Rényi entropy decrease with rising dissociation energy, while they increase with an increase in dipole moment, Aharonov–Bohm potential strength, as well as the principal and angular quantum numbers. These observations collectively indicate that the precision and localization of particles in space are enhanced by the increasing of the dissociation energy and reduced when the dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers increase.

Revista Mexicana de Física•Nov 1, 2025•0 citations
An uncertainty Fisher information relation in quantum mechanics is derived for multidimensional single-particle systems with central potentials. It is based on the concept of Fisher information in the two complementary position and momentum spaces, which is a gradient functional of the corresponding probability distributions. The lower bound of the product of position and momentum Fisher informations is shown to depend on the orbital and magnetic quantum numbers of the physical state and the space dimensionality. Applications to various elementary systems is discussed.
In this study, we examine a 2 dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the (AB) effect. We explore various information-theoretic measures, including Fisher information, Shannon entropy, Tsallis entropy, and Rényi entropy. Our numerical results show that the Fisher information increases with an increase in dissociation energy and decreases with rising dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers. In contrast, the Shannon entropy, the Tsallis entropy, and the Rényi entropy decrease with rising dissociation energy, while they increase with an increase in dipole moment, Aharonov–Bohm potential strength, as well as the principal and angular quantum numbers. These observations collectively indicate that the precision and localization of particles in space are enhanced by the increasing of the dissociation energy and reduced when the dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers increase.