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Factorization, Algebraization, and Shape Invariance

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Abstract

The notion of shape invariance in supersymmetric quantum mechanics is examined in relation with the generalized oscillator algebra. Shape invariance is reformulated as fermion-number independence of a parameter function and seen as a symmetry under a shape-related parameter transformation. It is also shown how shape invariance is implied in the dynamical group approach.

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Authors
  1. A. Inomata
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  2. O. Kizilkaya
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Inomata, A., Kizilkaya, O. Factorization, Algebraization, and Shape Invariance. Foundations of Physics 28, 107–124 (1998). https://doi.org/10.1023/A:1018712621231

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