This title appears in the Scientific Report :
2023
Please use the identifier:
http://dx.doi.org/10.34734/FZJ-2023-04596 in citations.
Please use the identifier: http://dx.doi.org/10.1107/S2053273323003303 in citations.
A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions
A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions
$\textrm{The}$ $\textrm{paper}$ $\textrm{by}$ $\textrm{Gopalan}$ $\textrm{[(2020).}$ $\textit{Acta}$ $\textit{Cryst.}$ $\textrm{A}$$\textbf{76}$$\textrm{,}$ $\textrm{318–327]}$ $\textrm{presented}$ $\textrm{an}$ $\textrm{enumeration}$ $\textrm{of}$ $\textrm{the}$ $\textrm{41}$ $\textrm{physical}$ $\...
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Personal Name(s): | Fabrykiewicz, Piotr (Corresponding author) |
---|---|
Contributing Institute: |
JCNS-4; JCNS-4 Heinz Maier-Leibnitz Zentrum; MLZ Streumethoden; JCNS-2 JARA-FIT; JARA-FIT JCNS-FRM-II; JCNS-FRM-II |
Published in: | Acta crystallographica / Section A, 79 (2023) 4, S. 381 - 384 |
Imprint: |
Chester
IUCr/Wiley
2023
|
DOI: |
10.34734/FZJ-2023-04596 |
DOI: |
10.1107/S2053273323003303 |
Document Type: |
Journal Article |
Research Program: |
Materials – Quantum, Complex and Functional Materials Jülich Centre for Neutron Research (JCNS) (FZJ) |
Subject (ZB): | |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1107/S2053273323003303 in citations.
$\textrm{The}$ $\textrm{paper}$ $\textrm{by}$ $\textrm{Gopalan}$ $\textrm{[(2020).}$ $\textit{Acta}$ $\textit{Cryst.}$ $\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{,}$ $\bar{1}'^\dagger$) $\textrm{leads}$ $\textrm{to}$ $\textrm{an}$ $\textrm{extension}$ $\textrm{of}$ $\textrm{the}$ $\textrm{results}$ $\textrm{obtained}$ $\textrm{by}$ $\textrm{Gopalan.}$ $\textrm{It}$ $\textrm{is}$ $\textrm{shown}$ $\textrm{that}$ $\textrm{there}$ $\textrm{are}$ $\textrm{51}$ $\textrm{types}$ $\textrm{of}$ $\textrm{physical}$ $\textrm{quantities}$ $\textrm{with}$ $\textrm{distinct}$ $\textrm{symmetry}$ $\textrm{properties}$ $\textrm{in}$ $\textrm{total.}$ |