Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method

doi:10.1006/aphy.1998.5856

Annals of Physics

Volume 270, Issue 1, 20 November 1998, Pages 155-177

https://doi.org/10.1006/aphy.1998.5856 Get rights and content

Abstract

We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schrödinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line and the half line as well as on some finite interval are studied in detail.

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