1998/03/11 by Georg Junker, Pinaki Roy
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1006/aphy.1998.5856
published as Annals Phys. 270 (1998) 155-177 · 24 pages, 11 figures, LaTeX209, amsfonts
arxiv created 1998/03/11 · arxiv updated 2009/12/01
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, the half line as well as on some finite interval are studied in detail.