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## Main Question or Discussion Point

Hi,

I want to solve one dimensional Schrodinger equation for a scattering problem. The potential function is 1/ ( 1+exp(-x) ). So at -∞ it goes to 0 and at ∞ it's 1. The energy level is more than 1. I used Numerov's method and integrated it from +∞ (far enough) backwards with an initial value =1 . But I believe it's wrong b/c squared wave function is oscillating on whole interval and it's supposed to be constant after the jump in potential. I know that I'm doing somewhere wrong in my solution So I would appreciate you if you help me by this or introduce me some sources.

Thanks,

Moji

I want to solve one dimensional Schrodinger equation for a scattering problem. The potential function is 1/ ( 1+exp(-x) ). So at -∞ it goes to 0 and at ∞ it's 1. The energy level is more than 1. I used Numerov's method and integrated it from +∞ (far enough) backwards with an initial value =1 . But I believe it's wrong b/c squared wave function is oscillating on whole interval and it's supposed to be constant after the jump in potential. I know that I'm doing somewhere wrong in my solution So I would appreciate you if you help me by this or introduce me some sources.

Thanks,

Moji