Normalized eigenfunctions of parametrically factored Schroedinger equations
arXiv:2412.16873 · doi:10.1088/1742-6596/2986/1/012008
Abstract
The factorizations using the general Riccati solution constructed from a given particular solution by means of the Bernoulli ansatz initiated in 1984 by Mielnik and Fernandez C. for the cases of the quantum harmonic oscillator and the radial Hydrogen equation, respectively, are briefy reviewed. The issue of the eigenfunction normalization of the obtained one-parameter Darboux-deformed Hamiltonians is addressed here.
10 pages, 5 figures, 17 references, to be published in J. Phys. Conf. Series; (Xth IWNCQM, Mexico City, May 2024)