Algebraic Approach to Shape Invariance
نویسنده
چکیده
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 explored. 03.65.Fd, 03.65.Ge, 02.20.Sv Typeset using REVTEX ∗Electronic address: [email protected] †Permanent Address
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