Double-Graded Supersymmetric Quantum Mechanics

Reference : Double-Graded Supersymmetric Quantum Mechanics


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/10993/44100

Title :	Double-Graded Supersymmetric Quantum Mechanics
Language :	English
Author, co-author :	Bruce, Andrew [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Duplij, Steven [Universitat Munster]
Publication date :	2020
Journal title :	Journal of Mathematical Physics
Publisher :	American Institute of Physics
Volume :	61
Pages :	063503
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0022-2488
e-ISSN :	1089-7658
City :	Melville
Country :	NY
Abstract :	[en] A quantum mechanical model that realizes the ℤ2×ℤ2-graded generalization of the one-dimensional supertranslation algebra is proposed. This model shares some features with the well-known Witten model and is related to parasupersymmetric quantum mechanics, though the model is not directly equivalent to either of these. The purpose of this paper is to show that novel "higher gradings" are possible in the context of non-relativistic quantum mechanics.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/44100
DOI :	10.1063/1.5118302

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