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The conditionally solvable natanzon potentials

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Abstract

It is shown how to derive the recently introduced conditionally solvable Natanzon potentials in the framework of the Schrödinger’s formulation of quantum mechanics. Their relation to the exactly solvable potentials is considered. It is shown that in this way the variety of conditionally solvable potentials can be obtained. The relationship between the Natanzon potentials and shape invariant ones is derived.

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This work was supported by the Grant Agency of Czech Republic under the contract No. 202/96/0552.

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Řízek, J. The conditionally solvable natanzon potentials. Czech J Phys 48, 547–555 (1998). https://doi.org/10.1023/A:1021265019271

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  • DOI: https://doi.org/10.1023/A:1021265019271

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