کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9509671 1632061 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics
چکیده انگلیسی
Fisher's information and Shannon's entropy are two complementary information measures of a probability distribution. Here, the probability distributions which characterize the quantum-mechanical states of a hydrogenic system are analyzed by means of these two quantities. These distributions are described in terms of Laguerre polynomials and spherical harmonics, whose characteristics are controlled by the three integer quantum numbers of the corresponding states. We have found the explicit expression for the Fisher information, and a lower bound for the Shannon entropy with the help of an isoperimetric inequality.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 179, Issues 1–2, 1 July 2005, Pages 185-194
نویسندگان
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