• journal/journal.article
• aip/jmp
• /content/aip/journal/jmp/52/2/10.1063/1.3549585
• jmp.aip.org
1887
No data available.
No metrics data to plot.
The attempt to plot a graph for these metrics has failed.
Upper bounds on Shannon and Rényi entropies for central potentials
USD
10.1063/1.3549585
P. Sánchez-Moreno1,2,a), S. Zozor3,b) and J. S. Dehesa2,4,c)
View Affiliations Hide Affiliations
Affiliations:
3 GIPSA-Lab, Domaine universitaire, 38402 St. Martin d’Hères, France
a) Electronic mail: pablos@ugr.es.
b) Electronic mail: steeve.zozor@gipsa-lab.inpg.fr.
c) Electronic mail: dehesa@ugr.es.
J. Math. Phys. 52, 022105 (2011)
/content/aip/journal/jmp/52/2/10.1063/1.3549585
http://aip.metastore.ingenta.com/content/aip/journal/jmp/52/2/10.1063/1.3549585
View: Figures

## Figures

FIG. 1.

Shannon entropy (■), upper bound (3) (×) and new upper bound (27) (⊙) for the three-dimensional hydrogenic states with n = 7, l = 0, …, 6 and m = 0, …, l. The m-dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

FIG. 2.

Rényi entropy with λ = 2 (■), upper bound (3) (×), and new upper bound (27) (⊙) for the three-dimensional hydrogenic states with n = 7, l = 0, …, 6, and m = 0, …, l. The m-dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

FIG. 3.

Shannon entropy (■), upper bound (3) (×), and new upper bound (28) (⊙) for the three-dimensional harmonic oscillator with n = 0, l = 0, …, 7, and m = 0, 1, …, l. The m dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

FIG. 4.

Shannon entropy (■), upper bound (3) (×), and new upper bound (28) (⊙) for the three-dimensional harmonic oscillator with n = 2, l = 0, …, 7, and m = 0, …, l. The m dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

FIG. 5.

Rényi entropy with λ = 2 (■), upper bound (3) (×), and new upper bound (28) (⊙) for the three-dimensional harmonic oscillator with n = 0, l = 0, …, 7, and m = 0, …, l. The m dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

FIG. 6.

Rényi entropy with λ = 2 (■), upper bound (3) (×), and new upper bound (28) (⊙) for the three-dimensional harmonic oscillator with n = 2, l = 0, …, 7 and m = 0, …, l. The m-dependence of these three quantities are to be read from left to right for each value of l; that is, from m = 0 to m = l.

/content/aip/journal/jmp/52/2/10.1063/1.3549585
2011-02-11
2014-04-16

Article
content/aip/journal/jmp
Journal
5
3

### Most cited this month

More Less
This is a required field