Hidden nonassociative structure in supersymmetric quantum mechanics

TL;DR

This paper reveals that Hamilton equations in supersymmetric quantum mechanics can be expressed using nonassociative algebraic structures, with the Hamiltonian decomposed into two nonassociative factors, offering a novel mathematical perspective.

Contribution

It introduces a nonassociative formulation of supersymmetric quantum mechanics, highlighting a new algebraic structure underlying the Hamiltonian.

Findings

Hamilton equations can be represented in nonassociative form

Hamiltonian decomposed into two nonassociative factors

Provides a new mathematical framework for supersymmetric quantum mechanics

Abstract

It is shown that the Hamilton equations in supersymmetric quantum mechanics can be presented in nonassociative form, where the Hamiltonian is decomposed into two nonassociative factors.