POSITION AND MOMENTUM INFORMATION ENTROPIES OF THE D-DIMENSIONAL HARMONIC-OSCILLATOR AND HYDROGEN-ATOM

被引：245

作者：

YANEZ, RJ

VANASSCHE, W

DEHESA, JS

机构：

[1] UNIV GRANADA, INST CARLOS 1 FIS TEOR & COMPUTAC, E-18071 GRANADA, SPAIN

[2] KATHOLIEKE UNIV LEUVEN, DEPT MATH, B-3001 HEVERLEE, BELGIUM

来源：

PHYSICAL REVIEW A | 1994年 / 50卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.50.3065

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The position- and momentum-space entropies of the isotropic harmonic oscillator and the hydrogen atom in D dimensions are shown to be related to some entropy integrals which involve classical orthogonal polynomials. These integrals are exactly calculated for Chebyshev polynomials and only in an approximate way for Gegenbauer polynomials. The physical entropies are explicitly obtained in the ground state and in a few low-lying excited states. Finally, the dimensionality dependence of the ground-state entropies of the two above-mentioned quantum-mechanical systems is analyzed (numerically) and the values of the entropies in a large class of excited states of the D-dimensional (D = 1, 2,3) harmonic oscillator and hydrogen atom are tabulated and discussed.

引用

页码：3065 / 3079

页数：15