Scaling behaviour of Fisher and Shannon entropies for the exponential-cosine screened coulomb potential
Abstract
The scaling laws are given for the entropies in the information theory, including the Shannon's entropy, its power, the Fisher's information and the Fisher-Shannon product, using the exponential-cosine screened Coulomb potential. The scaling laws are specified, in the r-space, as a function of |μ - μc, nℓ|, where μ is the screening parameter and μc, nℓ its critical value for the specific quantum numbers n and ℓ. Scaling laws for other physical quantities, such as energy eigenvalues, the moments, static polarisability, transition probabilities, etc. are also given. Some of these are reported for the first time. The outcome is compared with the available literatures' results.
- Publication:
-
Molecular Physics
- Pub Date:
- July 2017
- DOI:
- 10.1080/00268976.2017.1299887
- Bibcode:
- 2017MolPh.115.1480A
- Keywords:
-
- Exponential-cosine screened coulomb potential;
- entropy information theory;
- transition probabilities;
- static polarisability;
- scaling