Entropic measures of Rydberg-like harmonic states
The Shannon entropy, the desequilibrium and their generalizations (Renyi and Tsallis entropies) of the three-dimensional single-particle systems in a spherically symmetric potential V(r) can be decomposed into angular and radial parts. The radial part depends on the analytical form of the potential,...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad Rey Juan Carlos |
| Repositorio: | BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos |
| OAI Identifier: | oai:burjcdigital.urjc.es:10115/40184 |
| Acceso en línea: | https://hdl.handle.net/10115/40184 |
| Access Level: | acceso abierto |
| Palabra clave: | Entropic measures of Rydberg oscillator states Information theory of the harmonic oscillator Renyi and Tsallis entropies of the harmonic oscillator Shannon entropy of the harmonic oscillator Angular entropies of any central potential |
| Sumario: | The Shannon entropy, the desequilibrium and their generalizations (Renyi and Tsallis entropies) of the three-dimensional single-particle systems in a spherically symmetric potential V(r) can be decomposed into angular and radial parts. The radial part depends on the analytical form of the potential, but the angular part does not. In this article, we first calculate the angular entropy of any central potential by means of two analytical procedures. Then, we explicitly find the dominant term of the radial entropy for the highly energetic (i.e., Rydberg) stationary states of the oscillatorlike systems. The angular and radial contributions to these entropic measures are analytically expressed in terms of the quantum numbers which characterize the corresponding quantum states and, for the radial part, the oscillator strength. In the latter case, we use some recent powerful results of the information theory of the Laguerre polynomials and spherical harmonics which control the oscillator-like wavefunctions. |
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