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Double-graded supersymmetric quantum mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2020Embargo end date: 01 Jan 2019 Luxembourg Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 61 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Andrew James Bruce; Steven Duplij;

doi: 10.1063/1.5118302 , 10.48550/arxiv.1904.06975

arXiv: http://arxiv.org/abs/1904.06975

Double-graded supersymmetric quantum mechanics

Abstract

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.

Country
Luxembourg
Related Organizations
Keywords

High Energy Physics - Theory, Quantum Physics, Supersymmetry and quantum mechanics, : Physics [G04] [Physical, chemical, mathematical & earth Sciences], FOS: Physical sciences, Mathematical Physics (math-ph), : Physique [G04] [Physique, chimie, mathématiques & sciences de la terre], High Energy Physics - Theory (hep-th), Graded Lie (super)algebras, 16W25, 53B05, 53B15, 53D17, 58A50, 81Q60, 81Q65, 81S99, Quantum Physics (quant-ph), Mathematical Physics

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    		 42
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
42
Top 10%
Top 10%
Top 10%
Green
bronze