Shannon entropy: A study of confined hydrogenic-like atoms
نویسندگان
چکیده
منابع مشابه
Spectroscopy of Hydrogenic Atoms
The emission spectra of several hydrogenic species are investigated, after calibration from the principal lines of mercury, using a high-resolution monochromator. The Balmer lines of hydrogen are measured, as are many visible transitions of sodium, each to a relatively high degree of precision. The Rydberg constant is calculated at RH = 10970730 ± 30 m−1. The hydrogen isotope shift is measured,...
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Atomic Shannon information entropies are computed using Hyllerass-type basis functions for the helium isoelectronic series. As one varies the nuclear charge Z for the two-electron atoms, finite size scaling analysis shows that the system exhibits a critical point of the ground state energy at kc = 1/Zc = 1.0971 ± 0.0005 with a critical exponent a = 1, E(k) (k kc). At the critical point, the gro...
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This experiment is an exercise in optical spectroscopy in a study of the spectra of “hydrogenic” atoms, i.e. atoms with one “optical” electron outside a closed shell of other electrons. Measurements include finding: the Balmer lines of atomic hydrogen and the fine structure of sodium lines; determination of the mass of the deuteron from the isotope shift. A high-resolution scanning monochromato...
متن کاملOptical Spectroscopy of Hydrogenic Atoms
The quantum mechanical nature of an electron bound to a nucleus is well-shown by the discrete emission lines observed in spectroscopy of hydrogenic atoms. We determine the calibration of the spectroscopic apparatus used by measuring the emission lines of mercury. We then determine the value of the hydrogen Rydberg constant by measuring the Balmer emission lines of hydrogen along with the ratio ...
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Shannon entropy is increasingly used in many applications. In this article, an estimator of the entropy of a continuous random variable is proposed. Consistency and scale invariance of variance and mean squared error of the proposed estimator is proved and then comparisons are made with Vasicek's (1976), van Es (1992), Ebrahimi et al. (1994) and Correa (1995) entropy estimators. A simulation st...
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ژورنال
عنوان ژورنال: Chemical Physics Letters
سال: 2018
ISSN: 0009-2614
DOI: 10.1016/j.cplett.2017.11.048