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Solve, store, and access eigenvalues and eigenstates of M[x,y], for various points {x,y}

I'm interested in solving a position dependent eigenvalue problem for matrix M[x,y], where {x,y} is some discretized set of points. I may need to access the eigenstates and eigenvalues multiple times ...
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0answers
44 views

Why is this iterative process with matrix calculation so slow?

I am trying something similar to the following code with Ntime as large as 100 or so. Now it's very slow as shown by the Ntime=3 ...
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1answer
34 views

Obtain needed Kronecker products from output of Eigensystem[]

Eigensystem[M] gives a list of the eigenvalues and eigenvectors of the square matrix M, i.e. {{val1,val2,...},{vec1,vec2,...}}. I need a routine that will ...
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1answer
57 views

Filter out eigenvalues in NDEigenfunction

I am going to solve TISE for logarithmic potential in two dimensions. For bound state solution, the energy eigenvalues are to come negative. This is my code: ...
4
votes
2answers
424 views

Eigenvalues and eigenvectors of tensors

I have a linear equation where the unknown is a matrix: $$\sum_{pq} T_{ijpq}X_{pq} = \lambda X_{ij}$$ This is an eigenvalue problem for the tensor $T_{ijpq}$. Mathematica ...
5
votes
1answer
108 views

Coloring specific set of points in a plot

I have a large set of points.I get two bands of points in the graph which merge upon choosing suitable value of the parameters E1 and E2. My question is how to color these two sets of points ...