Fisher information and uncertainty relations for potential family

2019 ◽  
Vol 119 (19) ◽  
Author(s):  
Clement A. Onate ◽  
Michael C. Onyeaju ◽  
Akpan N. Ikot ◽  
Osarodion Ebomwonyi ◽  
John O. A. Idiodi
Keyword(s):  
Fisher Information ◽  
Uncertainty Relations

Uncertainty relations from Fisher information

2004 ◽  
Vol 51 (6-7) ◽  
pp. 979-982 ◽  
Author(s):  
Z. Hradil ◽  
J. Řeháček
Keyword(s):  
Fisher Information ◽  
Uncertainty Relations

scholarly journals Information Entropies for H2 and ScF Diatomic Molecules with Deng- Fan-Eckart Potential

2020 ◽  
Vol 66 (6 Nov-Dec) ◽  
pp. 742
Author(s):  
P. O. Amadi ◽  
A. N. Ikot ◽  
U. S. Okorie ◽  
G. J. Rampho ◽  
Hewa Y Abdullah ◽  
...  
Keyword(s):  
Excited States ◽  
Fisher Information ◽  
Shannon Entropy ◽  
Diatomic Molecules ◽  
Three Dimensions ◽  
Uncertainty Relations ◽  
Eckart Potential

In this study, the Shannon entropy and the Fisher information is investigated with molecular Deng-Fan-Eckart potential for the diatomic molecules  and ScF in position and momentum spaces in three dimensions for the ground and the excited states. The results were numerically obtained for diatomic molecules. Localization is observed for Shannon entropy and delocalization for Fisher information for both molecules in the position and momentum spaces. The uncertainty relations for the selected diatomic molecules were satisfied accordingly. 

Heisenberg-like and Fisher-information-based uncertainty relations forN-electrond-dimensional systems

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
I. V. Toranzo ◽  
S. López-Rosa ◽  
R. O. Esquivel ◽  
J. S. Dehesa
Keyword(s):  
Fisher Information ◽  
Uncertainty Relations

Uncertainty relations from fisher information

2004 ◽  
Vol 51 (6-7) ◽  
pp. 979-982 ◽  
Author(s):  
J. [Rcirc]eháĉek ◽  
Z. Hradil
Keyword(s):  
Fisher Information ◽  
Uncertainty Relations

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

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