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Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation

Miloslav Znojil
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Abstract

Witten's non-relativistic formalism of supersymmetric quantum mechanics was based on a factorization and partnership between Schroedinger equations. We show how it accommodates a transition to the partnership between relativistic Klein-Gordon equations. In such a class of models the requirement of supersymmetry is shown to lead to a certain "exceptional-point" instability of ground states.

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Miloslav Znojil. 2004-08-30. Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation. https://doi.org/10.1088/0305-4470%2F37%2F40%2F016

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