The partnership of potentials in Quantum Mechanics and Shape Invariance

Physics – Mathematical Physics

Scientific paper

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10 pages, LaTeX, to appear in Modern Physics Letters A

Scientific paper

10.1142/S0217732300001249

The concept of partnership of potentials is studied in detail and in
particular the non-uniqueness due to the ambiguity in the election of the
factorization energy and in the choice of the solution of certain Riccati
equation. We generate new factorizations from old ones using invariance under
parameter transformations. The theory is illustrated with some examples.

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