Double-graded supersymmetric quantum mechanics

被引：35

作者：

Bruce, Andrew James ^{[1
]}

Duplij, Steven ^{[2
]}

机构：

[1] Univ Luxembourg, Math Res Unit, Maison Nombre 6,Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg

[2] Univ Munster, Ctr Informat Proc ZIV, D-48149 Munster, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 06期

关键词：

PARTICLES;

D O I：

10.1063/1.5118302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A quantum mechanical model that realizes the Z2xZ2-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.

引用

页数：13

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