[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.
Disciplines :
Physique
Auteur, co-auteur :
BRUCE, Andrew ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Duplij, Steven; Universitat Munster
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Double-Graded Supersymmetric Quantum Mechanics
Date de publication/diffusion :
2020
Titre du périodique :
Journal of Mathematical Physics
ISSN :
0022-2488
eISSN :
1089-7658
Maison d'édition :
American Institute of Physics, Melville, Etats-Unis - New York
