论量子力学中的非交换几何

IF 0.7 Q3 PHYSICS, MULTIDISCIPLINARY Journal of Physical Studies Pub Date : 2020-01-01 DOI:10.30970/jps.24.2002

Ilyas Haouam

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引用次数: 12

摘要

在本文中，我们提出并回顾了一个形式主义，它在大多数关于非交换几何的研究中起着核心作用。我们提出了现有的方法，成功地允许我们利用和应用相空间的非交换性在量子力学和量子场理论(cid:28)。特别是，我们简要(cid:29)解释了Weyl量化、Moyal(cid:21)Weyl积、bopp -移位变换和Seiberg(cid:21)Witten映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the noncommutative geometry in quantum mechanics

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 (cid:28)eld theory. In particular, we brie(cid:29)y explained the Weyl quantization, the Moyal(cid:21)Weyl product, the Bopp-shift transformations, and the Seiberg(cid:21)Witten maps.

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来源期刊

Journal of Physical Studies PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.00

自引率

20.00%

发文量