Supersymmetric one-parameter strict isospectrality for the attractive delta potentials

Details Supersymmetric one-parameter strict isospectrality for the attractive delta potentials Supersymmetric one-parameter strict isospectrality for the attractive delta potentials

1997-09-09

arxiv.org/abs/quant-ph/9709019v4

J. Phys. A 31 (6 Nov. 1998) 8835-8839

Physics

Quantum Physics

7 pages in LaTex, 4 eps figures, published version v4

Scientific paper

10.1088/0305-4470/31/44/011

The Schr\"odinger equation with attractive delta potential has been previously studied in the supersymmetric quantum mechanical approach by a number of authors, but they all used only the particular superpotential solution. Here, we introduce a one-parameter family of strictly isospectral attractive delta function potentials, which is based on the general superpotential (general Riccati) solution, we study the problem in some detail and suggest possible applications

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