2019/04/30 by Andrew James Bruce, Steven Duplij · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Context (archaeology) #Generalization #Nonlinear Waves and Solitons #Quantization (signal processing) #Quantum #Quantum dissipation #Quantum field theory #Quantum process #Supersymmetric quantum mechanics #hep-th #math-ph #math.MP #msc:16W25 #msc:53B05 #msc:53B15 #msc:53D17 #msc:58A50 #msc:81Q60 #msc:81Q65 #msc:81S99 #quant-ph
paper · pdf · doi:10.1063/1.5118302
published as J. Math. Phys. 61, 063503 (2020) · 15 pages, amsart, in v.2: minor changes, bibliography added
openalex created_date 2019/04/25 · arxiv created 2019/05/04 · openalex publication_date 2020/06/01 · arxiv updated 2020/06/09 · openalex updated_date 2026/08/05
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.