Generating a spectrum for an PDE

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Sergio Manzetti
Sergio Manzetti 2020-5-22
Hi, I would like to generate the spectrum of the eigenvalues in complex space for a complex-valued Schrödinger equation:
In order to do so, I wanted to use MATLAB with some method. Is any one aware of a script that can generate the spectrum of this equation?
There is also a program for MATLAB called Chebfun, it has a functionality that can also resolve the eigenvalue landscape for a complex hermitian matrix:
How can I eventually use this for the PDE given above instead of the matrix?

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