Solutions of the Schroedinger equation for piecewise harmonic potentials: remarks on the asymptotic behavior of the wave functions

F. D. Mazzitelli, M. D. Mazzitelli, P. I. Soubelet

We discuss the solutions of the Schroedinger equation for piecewise potentials, given by the harmonic oscillator potential for $|x|>a$ and an arbitrary function for $\ver…