Shannon entropy and interference in the double-slit experiment with matter waves

被引：4

作者：

de Araujo, O. R. ^{[1
]}

Marinho, L. S. ^{[1
]}

Costa, H. A. S. ^{[1
]}

Sampaio, Marcos ^{[2
]}

da Paz, I. G. ^{[1
]}

机构：

[1] Univ Fed Piaui, Dept Fis, Campus Minist Petronio Portela, BR-64049550 Teresina, PI, Brazil

[2] Univ Fed ABC, Inst Ciencias Exatas, Dept Fis, Av Estados 5001, BR-09210580 Santo Andre, SP, Brazil

来源：

MODERN PHYSICS LETTERS A | 2019年 / 34卷 / 02期

关键词：

Shannon entropy; double-slit experiment; interference fringes; POSITION-MOMENTUM CORRELATION; UNCERTAINTY RELATIONS; WIGNER FUNCTION; QUANTUM; PHASE; INFORMATION; PACKETS;

D O I：

10.1142/S0217732319500172

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Shannon entropy has been used to study the localization/delocalization of a distribution for different systems. Greater increased localization was associated with the smaller values and increased delocalization with the larger values of the Shannon entropy. In this paper, we show that for the double-slit experiment in the position and momentum spaces, smaller values of the Shannon entropy are associated with larger number of interference fringes and larger values of the Shannon entropy with smaller number of interference fringes.

引用

页数：14

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