Schulze-Halberg, Axel General solution of a system of differential equations modelling a class of exactly-solvable potentials. II: Extended results. (English) Zbl 1033.81029 Proc. Est. Acad. Sci., Phys. Math. 51, No. 3, 179-193 (2002). Author’s abstract: The complete, closed-form solution of a system of coupled equations introduced by M.-L. Ge et al. [Phys. Rev. A (3) 62, 052110, 7 pp. (2000)] and representing a set of potentials for which shift operators can be constructed is given. The general solution obtained can be used to perform a systematic search for new exactly-solvable potentials. This note is an extension of Part I in Proc. Est. Acad. Sci., Phys. Math. 50, 42–48 (2001; Zbl 1139.81392). Reviewer: Sergei A. Mazanik (Minsk) MSC: 81U15 Exactly and quasi-solvable systems arising in quantum theory 34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) 47E05 General theory of ordinary differential operators 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics Keywords:Schrödinger equation; exactly-solvable potential Citations:Zbl 1139.81392 PDFBibTeX XMLCite \textit{A. Schulze-Halberg}, Proc. Est. Acad. Sci., Phys. Math. 51, No. 3, 179--193 (2002; Zbl 1033.81029)