Conditionally exactly solvable potentials: A supersymmetric construction method

Details Conditionally exactly solvable potentials: A supersymmetric construction method Conditionally exactly solvable potentials: A supersymmetric construction method

1998-03-11

arxiv.org/abs/quant-ph/9803024v1

Annals Phys. 270 (1998) 155-177

Physics

Quantum Physics

24 pages, 11 figures, LaTeX209, amsfonts

Scientific paper

10.1006/aphy.1998.5856

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 Schr\"odinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line, the half line as well as on some finite interval are studied in detail.

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