Heisenberg-like and Fisher-information-based uncertainty relations for N-electron d-dimensional systems

被引：10

作者：

Toranzo, I. V. ^{[1
,2
]}

Lopez-Rosa, S. ^{[2
,3
]}

Esquivel, R. O. ^{[2
,4
]}

Dehesa, J. S. ^{[1
,2
]}

机构：

[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain

[2] Univ Granada, Inst Carlos Fis Teor & Computac, E-18071 Granada, Spain

[3] Univ Seville, Dept Fis Aplicada 2, E-41012 Seville, Spain

[4] Univ Autonoma Metropolitana, Dept Quim, Mexico City 09340, DF, Mexico

来源：

PHYSICAL REVIEW A | 2015年 / 91卷 / 06期

关键词：

MOMENTUM EXPECTATION VALUES; DENSITY-DEPENDENT QUANTITIES; FOCK WAVE-FUNCTIONS; KINETIC-ENERGY; BOUNDS; ENTROPY; ATOMS; POSITION; PRINCIPLE; SPACES;

D O I：

10.1103/PhysRevA.91.062122

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Heisenberg-like and Fisher-information-based uncertainty relations which extend and generalize previous similar expressions are obtained for N-fermion d-dimensional systems. The contributions of both spatial and spin degrees of freedom are taken into account. The accuracy of some of these generalized spinned uncertainty-like relations is numerically examined for a large number of atomic and molecular systems.

引用

页数：8

共 78 条

[1] Uncertainty inequalities among frequency moments and radial expectation values: Applications to atomic systems [J].