Mapping Schrödinger equation into a Heun-type and identifying the corresponding potential function, energy and wavefunction
arXiv:1906.11162 · doi:10.1063/5.0017215
Abstract
We transform the Schrödinger wave equation to a nine-parameter Heun-type differential equation. Using our solutions of the latter in [J. Math. Phys. 59 (2018) 113507], we are able to identify the associated potential function, energy parameter, and write the corresponding wave function. Some of the solutions obtained correspond to new integrable quantum systems.
This revised version corrects a mistake in Eq. (7)