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sl(2) Construction of Type A N-fold supersymmetry

Hideaki Aoyama·Noriko Nakayama·Masatoshi Sato·Toshiaki Tanaka
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Abstract

N-fold supersymmetry is an extension of the ordinary supersymmetry in one-dimensional quantum mechanics. One of its major property is quasi-solvability, which means that energy eigenvalues can be obtained for a portion of the spectra. We show that recently found Type A N-fold supersymmetry can be constructed by using sl(2) algebra, which provides a basis for the quasi-solvability. By this construction we find a condition for the Type A N-fold supersymmetry, which is less restrictive than the condition known previously. Several explicitly known models are also examined in the light of this construction.

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Hideaki Aoyama, Noriko Nakayama, Masatoshi Sato, Toshiaki Tanaka. 2001-09-04. sl(2) Construction of Type A N-fold supersymmetry. https://doi.org/10.1016/s0370-2693(01)01119-4

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