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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

0 votes
1 answer
479 views

DEigensystem and NDEigensystem simply not working in Mathematica 10.0 [closed]

I am trying to use DEigensystem and NDEigensystem to check some theoretical derivations I have recently done. I am running Mathematica 10 on the university computers. I copied the example code from th …
Matthew Brunetti's user avatar
0 votes
1 answer
261 views

Having trouble interpreting the results DSolve gives for the Laguerre equation

I am trying to solve a second order ODE using Mathematica. Before I get into solving my (more complicated) problem, I am trying to use DSolve on known ODEs to check that the answer that Mathematica re …
Matthew Brunetti's user avatar
14 votes
1 answer
2k views

NDEigensystem returns incorrect eigenvalues for 2D coulomb problem, eigenfunctions contain d...

I posted a similar question a short time ago regarding the 3D Coulomb problem. Jens' excellent answer to this thread allowed me to obtain the correct eigenvalues and eigenenergies for that system. I …
Matthew Brunetti's user avatar
10 votes
2 answers
1k views

NDEigensystem cannot solve numerically the 3D Coulomb problem, while DSolve returns the righ...

After having derived by hand the eigenvalues and eigenfunctions for the 3D and 2D hydrogen atom, I want to solve the systems numerically using Mathematica. I need to do this because my next step is to …
Matthew Brunetti's user avatar