Hi,

I have written analytic eigenvectors for the Hydrogen atom using sympy:

http://github.com/certik/sympy/blob/hydrogen/hydrogen.py

that I need to test my FEM solver against. I can imagine other QM
systems, that have analytic, or at least some infinite series
solutions.

Where is the best place to have this in sympy? Another thing are
formulas for the energy of many QM systems (1D, 2D, 3D, spherically
symmetric, box, ...), things like one particle in the potential 1/r,
r^2, r^2 - r, and so on.

I keep finding those formulas over and over again on the net and then
forgetting. In many cases, the analytic formula is not known, but is
given in terms of nodes of some bessel function or something.

I'd like to have a collection of these problems, so that it gives me
the exact energy with any precision, and I can compare the spectrum
coming from the FE code.

Brian, since you spent quite some time thinking how to represent
various things in QM with sympy, do you have any thoughts on this?

Ondrej

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