Advanced Search

Question: Solving Schrodinger equation

Question:Solving Schrodinger equation

apronya 20 Maple
ode interpolation numeric differential-equations
July 10 2023
2

I am trying to solve the Schrodinger equation:

-y''(x) = (E-V(x))*y(x),

where the potential V(x) is not known in quadratures. The potential V(x) comes from numerical solution of ODE, and is known only a discrete set of points and given by the vector [V(x_1), V_(x_2), ...], and has the following plot:

So, the question is: what is the best way to solve this problem? (apart from the obvious choice to fit the data and solve the equation with the fitted potential)
Please Wait...