Wedge reversion antisymmetry and 41 types of physical quantities in arbitrary dimensions.
Clifford algebra
multivectors
wedge reversion antisymmetry
Journal
Acta crystallographica. Section A, Foundations and advances
ISSN: 2053-2733
Titre abrégé: Acta Crystallogr A Found Adv
Pays: United States
ID NLM: 101620182
Informations de publication
Date de publication:
01 May 2020
01 May 2020
Historique:
received:
18
10
2019
accepted:
16
02
2020
entrez:
2
5
2020
pubmed:
2
5
2020
medline:
2
5
2020
Statut:
ppublish
Résumé
It is shown that there are 41 types of multivectors representing physical quantities in non-relativistic physics in arbitrary dimensions within the formalism of Clifford algebra. The classification is based on the action of three symmetry operations on a general multivector: spatial inversion, 1, time-reversal, 1', and a third that is introduced here, namely wedge reversion, 1
Identifiants
pubmed: 32356782
pii: S205327332000217X
doi: 10.1107/S205327332000217X
pmc: PMC7233017
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
318-327Subventions
Organisme : National Science Foundation, Directorate for Mathematical and Physical Sciences
ID : DMR-1807768
Organisme : National Science Foundation, Directorate for Mathematical and Physical Sciences
ID : DMR-1420620
Références
Acta Crystallogr A Found Adv. 2014 Jan;70(Pt 1):24-38
pubmed: 24419168
Phys Rev Lett. 2014 Oct 17;113(16):165502
pubmed: 25361266
Acta Crystallogr A Found Adv. 2014 Jul;70(Pt 4):373-81
pubmed: 25970195