Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation

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.

20 pages

References in corpus (2)

• Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
• Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]

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