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

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

2001-07-06

arxiv.org/abs/hep-th/0107048v4

Phys.Lett. B519 (2001) 260-268

Physics

High Energy Physics

High Energy Physics - Theory

15 pages in LaTeX2e. Some references and a footnote added in ver.3. Ibtroduction modified in ver.4

Scientific paper

10.1016/S0370-2693(01)01119-4

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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