TY  - JOUR
A1  - Fabrykiewicz, Piotr
T1  - A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions
Y1  - 2023-06-05
VL  - 79
IS  - 4
SP  - 381
EP  - 384
JF  - Acta Crystallographica Section A
DO  - 10.1107/S2053273323003303
PB  - International Union of Crystallography
N2  - <p xmlns:mml="http://www.w3.org/1998/Math/MathML" xml:lang="en">The paper by Gopalan [<ext-link ext-link-type="uri" xlink:href="http://scripts.iucr.org/cgi-bin/paper?ib5086">(2020). <italic>Acta Cryst.</italic> A<bold>76</bold>, 318–327</ext-link>] 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, <overline>1</overline>, time reversal, 1′, and wedge reversion, 1<sup>†</sup>. A consideration of the set of all seven antisymmetries (<overline>1</overline>, 1′, 1<sup>†</sup>, 1′<sup>†</sup>, <overline>1</overline><sup>†</sup>, <overline>1</overline>′, <overline>1</overline>′<sup>†</sup>) 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.</p>
N2  - <p xmlns:mml="http://www.w3.org/1998/Math/MathML" xml:lang="en">It is shown that there are 51 types of physical quantities in arbitrary dimensions with distinct transformations by wedge reversion symmetry. In the paper by <ext-link ext-link-type="uri" xlink:href="http://scripts.iucr.org/cgi-bin/paper?ib5086">Gopalan [(2020). <italic>Acta Cryst.</italic> A<bold>76</bold>, 318–327]</ext-link> only 41 types were enumerated.<boxed-text position="anchor" content-type="graphic" xml:lang="en"><graphic position="anchor" id="jats-graphic-1" xlink:href="urn:x-wiley:20532733:aya2ib5117:aya2ib5117-fig-0001"> <alt-text>image</alt-text> </graphic></boxed-text></p>
UR  - http://resolver.sub.uni-goettingen.de/purl?gldocs-11858/10926
ER  -