A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions.

IF 1.9 4区材料科学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Acta Crystallographica Section A: Foundations and Advances Pub Date : 2023-07-01 DOI:10.1107/S2053273323003303

Piotr Fabrykiewicz

引用次数: 0

Abstract

The paper by Gopalan [(2020). Acta Cryst. A76, 318-327] presented an enumeration of the 41 physical quantity types in non-relativistic physics, in arbitrary dimensions, based on the formalism of Clifford algebra. Gopalan considered three antisymmetries: spatial inversion, 1, time reversal, 1', and wedge reversion, 1^†. A consideration of the set of all seven antisymmetries (1, 1', 1^†, 1'^†, 1^†, 1', 1'^†) leads to an extension of the results obtained by Gopalan. It is shown that there are 51 types of physical quantities with distinct symmetry properties in total.

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关于楔形反转反对称运算和任意维51种物理量的注解。

Gopalan[(2020)]的论文。Acta结晶。[A76, 318-327]基于Clifford代数的形式主义，列举了非相对论物理中任意维度的41种物理量类型。Gopalan考虑了三种不对称:空间反演，1，时间反演，1'，和楔形反演，1†。考虑所有七个不对称(1,1 '，1†，1'†，1†，1'，1'†)的集合，得到了Gopalan所得结果的推广。结果表明，具有明显对称性的物理量共有51种。

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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来源期刊

Acta Crystallographica Section A: Foundations and Advances CHEMISTRY, MULTIDISCIPLINARYCRYSTALLOGRAPH-CRYSTALLOGRAPHY

CiteScore

2.60

自引率

11.10%

发文量

419

期刊介绍： Acta Crystallographica Section A: Foundations and Advances publishes articles reporting advances in the theory and practice of all areas of crystallography in the broadest sense. As well as traditional crystallography, this includes nanocrystals, metacrystals, amorphous materials, quasicrystals, synchrotron and XFEL studies, coherent scattering, diffraction imaging, time-resolved studies and the structure of strain and defects in materials. The journal has two parts, a rapid-publication Advances section and the traditional Foundations section. Articles for the Advances section are of particularly high value and impact. They receive expedited treatment and may be highlighted by an accompanying scientific commentary article and a press release. Further details are given in the November 2013 Editorial. The central themes of the journal are, on the one hand, experimental and theoretical studies of the properties and arrangements of atoms, ions and molecules in condensed matter, periodic, quasiperiodic or amorphous, ideal or real, and, on the other, the theoretical and experimental aspects of the various methods to determine these properties and arrangements.