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@ARTICLE{Fabrykiewicz:1018152,
author = {Fabrykiewicz, Piotr},
title = {{A} note on the wedge reversion antisymmetry operation and
51 types of physical quantities in arbitrary dimensions},
journal = {Acta crystallographica / Section A},
volume = {79},
number = {4},
issn = {0108-7673},
address = {Chester},
publisher = {IUCr/Wiley},
reportid = {FZJ-2023-04596},
pages = {381 - 384},
year = {2023},
abstract = {$\textrm{The}$ $\textrm{paper}$ $\textrm{by}$
$\textrm{Gopalan}$ $\textrm{[(2020).}$ $\textit{Acta}$
$\textit{Cryst.}$ $\textrm{A}$$\textbf{76}$$\textrm{,}$
$\textrm{318–327]}$ $\textrm{presented}$ $\textrm{an}$
$\textrm{enumeration}$ $\textrm{of}$ $\textrm{the}$
$\textrm{41}$ $\textrm{physical}$ $\textrm{quantity}$
$\textrm{types}$ $\textrm{in}$ $\textrm{non-relativistic}$
$\textrm{physics,}$ $\textrm{in}$ $\textrm{arbitrary}$
$\textrm{dimensions,}$ $\textrm{based}$ $\textrm{on}$
$\textrm{the}$ $\textrm{formalism}$ $\textrm{of}$
$\textrm{Clifford}$ $\textrm{algebra.}$ $\textrm{Gopalan}$
$\textrm{considered}$ $\textrm{three}$
$\textrm{antisymmetries:}$ $\textrm{spatial}$
$\textrm{inversion,}$ $\bar{1}$$\textrm{,}$ $\textrm{time}$
$\textrm{reversal,}$ $1′$$\textrm{,}$ $\textrm{and}$
$\textrm{wedge}$ $\textrm{reversion,}$
$1^\dagger$$\textrm{.}$ $\textrm{A}$
$\textrm{consideration}$ $\textrm{of}$ $\textrm{the}$
$\textrm{set}$ $\textrm{of}$ $\textrm{all}$ $\textrm{seven}$
$\textrm{antisymmetries}$ ($\bar{1}$$\textrm{,}$
$1'$$\textrm{,}$ $1^\dagger$$\textrm{,}$
$1'^\dagger$$\textrm{,}$ $\bar{1}^\dagger$$\textrm{,}$
$\bar{1}'$$\textrm{,}$ $\bar{1}'^\dagger$) $\textrm{leads}$
$\textrm{to}$ $\textrm{an}$ $\textrm{extension}$
$\textrm{of}$ $\textrm{the}$ $\textrm{results}$
$\textrm{obtained}$ $\textrm{by}$ $\textrm{Gopalan.}$
$\textrm{It}$ $\textrm{is}$ $\textrm{shown}$ $\textrm{that}$
$\textrm{there}$ $\textrm{are}$ $\textrm{51}$
$\textrm{types}$ $\textrm{of}$ $\textrm{physical}$
$\textrm{quantities}$ $\textrm{with}$ $\textrm{distinct}$
$\textrm{symmetry}$ $\textrm{properties}$ $\textrm{in}$
$\textrm{total.}$},
cin = {JCNS-FRM-II / JARA-FIT / JCNS-2 / MLZ / JCNS-4},
ddc = {530},
cid = {I:(DE-Juel1)JCNS-FRM-II-20110218 /
$I:(DE-82)080009_20140620$ / I:(DE-Juel1)JCNS-2-20110106 /
I:(DE-588b)4597118-3 / I:(DE-Juel1)JCNS-4-20201012},
pnm = {6G4 - Jülich Centre for Neutron Research (JCNS) (FZJ)
(POF4-6G4) / 632 - Materials – Quantum, Complex and
Functional Materials (POF4-632)},
pid = {G:(DE-HGF)POF4-6G4 / G:(DE-HGF)POF4-632},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)16},
pubmed = {37272370},
UT = {WOS:001026156200009},
doi = {10.1107/S2053273323003303},
url = {https://juser.fz-juelich.de/record/1018152},
}