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Supersymmetric quaternionic quantum mechanics

A. J. Davies

Open publisher page 9 citations

Abstract

We present the supersymmetric formulation of quaternionic quantum mechanics. We show that most of the results of supersymmetric quantum mechanics over the complex numbers go through, but unlike complex quantum mechanics, there is no general expression for the ground state in terms of the superpotential.

About this research paper

What this paper is about

We present the supersymmetric formulation of quaternionic quantum mechanics. We show that most of the results of supersymmetric quantum mechanics over the complex numbers go through, but unlike complex quantum mechanics, there is no general expression for the ground state in terms of the superpotential.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We present the supersymmetric formulation of quaternionic quantum mechanics. We show that most of the results of supersymmetric quantum mechanics over the complex numbers go through, but unlike complex quantum mechanics, there is no general expression for the ground state in terms of the superpotential.

Key concepts: Superpotential, Supersymmetric quantum mechanics, Physics, Quantum mechanics, Quantum statistical mechanics, Quantum geometry, Supersymmetry, Quantum dissipation

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