Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials

被引：50
作者：
Sanchez-Moreno, P. [1 ]
Gonzalez-Ferez, R.
Dehesa, J. S.
机构：
[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
来源：
NEW JOURNAL OF PHYSICS | 2006年 / 8卷
关键词：
D O I：
10.1088/1367-2630/8/12/330
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Heisenberg and Fisher-information-based uncertainty relations are improved for stationary states of single-particle systems in a D-dimensional central potential. The improvement increases with the squared orbital hyperangular quantum number. The new uncertainty relations saturate for the isotropic harmonic oscillator wavefunction.
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页数：8
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