The time-independent Schrödinger equation is

Using the Laplacian in spherical coordinate. and Set

The angular part,

The radial part,

To simplify the first term,

A more easy form of the radial function is,

The effective potential

We can use Rungu-Kutta method to numerically solve the equation.

The initial condition of has to be 0. (home work)

I used excel to calculate a scattered state of L = 0 of energy 30 MeV. The potential is a Wood-Saxon of depth 50 MeV, radius 3.5 fm, diffusiveness 0.8 fm.

Another example if bound state of L = 0. I have to search for the energy, so that the wavefunction is flat at large distance. The outermost eigen energy is -7.27 MeV. From the radial function, we know it is a 2s orbit.

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wolfgang schmidt

Jul 31, 2017@ 21:21:49ws@chemievt.de

hi,

i am very interested in the Excel sheet which you used for schroedinger eq.

Kind regards

Wolfgang Schmidt

germany

GoLuckyRyan

Sep 14, 2017@ 12:58:21Hello, sorry for late reply.

I put the excel file in google drive. Here is the link.

https://drive.google.com/file/d/0BycN9tiDv9kmODlZRXl2alJ1SEE/view?usp=sharing

Best regards,

ryan