کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9582205 | 1505183 | 2005 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Fisher information of single-particle systems with a central potential
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موضوعات مرتبط
مهندسی و علوم پایه
شیمی
شیمی تئوریک و عملی
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چکیده انگلیسی
The Fisher information of single-particle systems with a central potential, which is a gradient functional of their quantum-mechanical probability density, is studied in detail in the position and momentum spaces. It is found that this local information-theoretic quantity can be expressed in a simple closed form via the radial expectation values (ãp2ã, ãrâ2ã) in position space, and (ãr2ã, ãpâ2ã) in momentum space. Applications to various prototype systems (hydrogen and harmonic oscillator) are shown. Furthermore, a new uncertainty relation which involves the Fisher information in the two complementary spaces, is proposed at the same level than the variance-based Heisenberg and entropic uncertainty relations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chemical Physics Letters - Volume 414, Issues 4â6, 14 October 2005, Pages 468-472
Journal: Chemical Physics Letters - Volume 414, Issues 4â6, 14 October 2005, Pages 468-472
نویسندگان
E. Romera, P. Sánchez-Moreno, J.S. Dehesa,