Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods

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, , Citation A Khare and U P Sukhatme 1988 J. Phys. A: Math. Gen. 21 L501 DOI 10.1088/0305-4470/21/9/005

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1 Dept. of Phys., Illinois Univ., Chicago, IL, USA

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Abstract

The scattering amplitudes for all currently known supersymmetric shape-invariant potentials are calculated by analytically continuing the explicit wavefunctions obtained via supersymmetric operator techniques. The procedure is illustrated in detail for the superpotential W(x)=A tanh alpha x+B sech alpha x, for which the S matrix has not been previously calculated.

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