Algebraic approach to shape invariance

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Algebraic Approach to Shape Invariance

The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finitedimensional are explo...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 1998

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.57.4188