Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation

Details Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation

2004-08-30

arxiv.org/abs/hep-th/0408232v1

J.Phys.A37:9557-9572,2004

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1088/0305-4470/37/40/016

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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