ON THE NONCOMMUTATIVE GEOMETRY IN QUANTUM MECHANICS

被引：15

作者：

Haouam, Ilyas ^{[1
]}

机构：

[1] Univ Freres Mentouri, Lab Phys Math & Phys Subatom LPMPS, Constantine, Algeria

来源：

JOURNAL OF PHYSICAL STUDIES | 2020年 / 24卷 / 02期

关键词：

noncommutative geometry; noncommutative quantum mechanics; Weyl quantization; Moyal-Weyl product; Bopp-shift transformation; Seiberg-Witten maps; Weyl-Wigner maps; uncertainty relations; SPACE-TIME; PHASE; FIELD; MODEL;

D O I：

10.30970/jps.24.2002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we presented and reviewed a formalism that plays a central role in most of the investigations concerning noncommutative geometry. We presented existing methods that successfully allow us to utilize and apply the noncommutativity of phase-space in both quantum mechanics and quantum field theory. In particular, we briefly explained the Weyl quantization, the Moyal-Weyl product, the Bopp-shift transformations, and the Seiberg-Witten maps.

引用

页数：15

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