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Supersymmetry in quantum mechanics with point interactions

Tomoaki Nagasawa·Makoto Sakamoto·Kazunori Takenaga
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Abstract

We investigate supersymmetry in one-dimensional quantum mechanics with point interactions. We clarify a class of point interactions compatible with supersymmetry and present N=2 supersymmetric models on a circle with two point interactions as well as a superpotential. A hidden su(2) structure inherent in the system plays a crucial role to construct the N=2 supercharges. Spontaneous breaking of supersymmetry due to point interactions and an extension to higher N-extended supersymmetry are also discussed.

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Tomoaki Nagasawa, Makoto Sakamoto, Kazunori Takenaga. 2003-04-07. Supersymmetry in quantum mechanics with point interactions. https://doi.org/10.1016/s0370-2693(03)00575-6

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