# Information and quantum theories: an analysis in one-dimensional systems

@article{Nascimento2020InformationAQ, title={Information and quantum theories: an analysis in one-dimensional systems}, author={Wallas S. Nascimento and Marcos M. de Almeida and Frederico Vasconcellos Prudente}, journal={European Journal of Physics}, year={2020}, volume={41} }

We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. We also discuss relationships between information and quantum theories. In this context we determine the information entropies on the position, Sx, and momentum, Sp, spaces, in addition to the entropy sum, St. Here, we use the modified entropic expressions that are dimensionally consistent. We provide…

## 4 Citations

Quantum-information theory of a Dirichlet ring with Aharonov–Bohm field

- PhysicsThe European Physical Journal Plus
- 2022

Shannon quantum information entropies S ρ,γ ( φ AB , r 0 ), Fisher informations I ρ,γ ( φ AB , r 0 ), Onicescu energies O ρ,γ ( φ AB , r 0 ) and R´enyi entropies R ρ,γ ( φ AB , r 0 ; α ) are…

Coulomb correlation and information entropies in confined helium-like atoms

- Physics
- 2020

The present work studies aspects of the electronic correlation in confined H$^{-}$, He and Li$^+$ atoms in their ground states using the informational entropies. In this sense, different variational…

Higher-Order Information Measures from Cumulative Densities in Continuous Variable Quantum Systems

- PhysicsQuantum Reports
- 2020

A definition of three-variable cumulative residual entropy is introduced, and then used to obtain expressions for higher order or triple-wise correlation measures, that are based on cumulative…

Evaluating Bohm’s quantum force in the scattering process by a classical potential

- Physics
- 2020

In this work, we show an application of the de Broglie–Bohm quantum theory of motion (QTM) as a powerful tool for evaluating Bohm’s quantum force in the scattering process of a Gaussian wavepacket by…

## References

SHOWING 1-10 OF 81 REFERENCES

Thermodynamics and Statistical Mechanics

- Physics, Chemistry
- 1995

Foreword.- Preface.- Thermodynamics: Equilibrium and State Quantities.- The Laws of Thermodynamics.- Phase Transitions and Chemical Reactions.- Thermodynamic Potentials.- Statistical Mechanics:…

A mathematical theory of communication

- MathematicsMOCO
- 2001

In this final installment of the paper we consider the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now. To a…

Uncertainty relations for information entropy in wave mechanics

- Physics
- 1975

New uncertainty relations in quantum mechanics are derived. They express restrictions imposed by quantum theory on probability distributions of canonically conjugate variables in terms of…

Some novel characteristics of atomic information entropies.

- PhysicsPhysical review. A, General physics
- 1985

This study for atoms in their ground states, using wave functions of single-zeta, double-Zeta, and near-Hartree-Fock quality, unearths a startling feature that the entropy sum, S ρ +S γ, increases with an enhancement in the ground-state wave-function quality.

The mathematical theory of communication

- Art
- 1948

This commemorative reprinting of The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago, is released.

Stability after confinement of the H atom

- PhysicsState of The Art of Molecular Electronic Structure Computations: Correlation Methods, Basis Sets and More
- 2019

Role of the cut-off function for the ground state variational wavefunction of the hydrogen atom confined by a hard sphere

- PhysicsRevista Mexicana de Física
- 2019

A variational treatment of the hydrogen atom in its ground state, enclosed by a hard spherical cavity of radius Rc , is developed by considering the ansatz wavefunction as the product of the…