Bound-state solutions of the Schrödinger equation for two novel potentials
arXiv:2109.05069 · doi:10.3390/physics4030070
Abstract
We solve the one-dimensional Schrödinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do not belong to the well-known class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomials.
16 pages, 2 tables, 4 figures. arXiv admin note: text overlap with arXiv:2108.08978