Shannon entropy: a study of confined hydrogenic-like atoms
| Autor: | Nascimento, Wallas S., Prudente, Frederico V. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Chemical Physics Letters 2017 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.cplett.2017.11.048 |
| Popis: | The Shannon entropy in the atomic, molecular and chemical physics context is presented by using as test cases the hydrogenic-like atoms $H_c$, ${He_c}^+$ and ${Li_c}^{2+}$ confined by an impenetrable spherical box. Novel expressions for entropic uncertainty relation and Shannon entropies $S_r$ and $S_p$ are proposed to ensure their physical dimensionless characteristic. The electronic ground state energy and the quantities $S_r$, $S_p$ and $S_t$ are calculated for the hydrogenic-like atoms to different confinement radii by using a variational method. The global behavior of these quantities and different conjectures are analyzed. The results are compared, when available, with those previously published. Comment: Version accepted for publication in Chemical Physics Letters |
| Databáze: | arXiv |
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