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arxiv: quant-ph/0004024 · v1 · submitted 2000-04-05 · 🪐 quant-ph

The finite difference algorithm for higher order supersymmetry

classification 🪐 quant-ph
keywords differencefinitehigherorderadvantagesalgorithmbaecklundcase
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The higher order supersymmetric partners of the Schroedinger's Hamiltonians can be explicitly constructed by iterating a simple finite difference equation corresponding to the Baecklund transformation. The method can completely replace the Crum determinants. Its limiting, differential case offers some new operational advantages.

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