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I am trying to run on a cluster (where the version 11 of Mathematica is available) a code involving the following calculation:

    1). {Values, States} = NDEigensystem[{-D[u[r], {r, 2}] + V[r] u[r], u[R] == 0}, u[r], {r,0,R}, 10];

where I omitted the method specifications.

When I run it on my laptop (where I use the version 12.2), I have no problem accessing the different eigenstates with Evaluate[States][[i]] or, equivalently, with Evaluate[States[[i]]], but on the cluster I get an error saying that the left and righthand side of equation 1) have a different shape.

I then tried to name the lefthand side of 1) simply as Solution and to access the eigenvalues with Evaluate[Solution][[1,i]] and Evaluate[Solution][[2,i]] (or Evaluate[Solution[[1,i]]] and Evaluate[Solution[[2,i]]]) respectively. Again, both work on my laptop but neither of them work on the cluster. In this case, the error says that part 2 (or more) of u[r] does not exist.

Moreover, even the calculation of the first eigenstate seems to be different.

Is there something I am not considering about the difference between the two versions of Mathematica? Or is there any difference between running a code locally or on a cluster?

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  • $\begingroup$ Welcome to Mathematica.SE! I hope you will become a regular contributor. To get started, 1) take the introductory tour now, 2) when you see good questions and answers, vote them up by clicking the gray triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge, 3) remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign, and 4) give help too, by answering questions in your areas of expertise. $\endgroup$
    – bbgodfrey
    Aug 11, 2021 at 16:50
  • $\begingroup$ I do not believe that versions 11 vs 12 would matter here. $\endgroup$
    – bbgodfrey
    Aug 11, 2021 at 16:51

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