Double-graded supersymmetric quantum mechanics
Andrew James Bruce, Steven Duplij
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.
Topics & Concepts
PhysicsSupersymmetric quantum mechanicsGeneralizationQuantumQuantum mechanicsContext (archaeology)Quantization (signal processing)Quantum processTheoretical physicsQuantum field theoryQuantum dissipationQuantum operationOpen quantum systemAlgebra over a fieldQuantum statistical mechanicsQuantum probabilityQuantum dynamicsMathematical physicsQuantum algorithmQuantum systemSupersymmetryQuantum geometryOperator algebraCanonical quantizationAlgebraic structures and combinatorial modelsNonlinear Waves and SolitonsBlack Holes and Theoretical Physics