Numerically calculate the eigenstates and eigenvalues of a shrodinger equation with linear potential

I think eig, ode45 may be useful but I have no clues to write the code. I just know how to write a mathematica one.

Answer 1

[Bjorn Gustavsson]

If you go to the file exchange you will find a fair number of contributions that solves Schrödinger equations in different geometries:

Schrödinger equation contributions, and Schrodinger equation contributions.

(To the mathworks powers that be: Why redirect-suggest from Schrödinger to schrodinger, but not the other way around?)

HTH