# ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS

@article{Tanaka2011mathcalNS,
title={\$\{\mathcal N\}\$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS},
author={Toshiaki Tanaka},
journal={International Journal of Modern Physics A},
year={2011},
volume={27},
pages={1250102}
}
• Toshiaki Tanaka
• Published 1 December 2011
• Physics
• International Journal of Modern Physics A
We formulate -fold supersymmetry in quantum mechanical systems with reflection operators. As in the cases of other systems, they possess the two significant characters of -fold supersymmetry, namely, almost isospectrality and weak quasi-solvability. We construct explicitly the most general one- and two-fold supersymmetric quantum mechanical systems with reflections. In the case of , we find that there are seven inequivalent such systems, three of which are characterized by three arbitrary…
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