Theoretical analysis characterizes eigenvector varieties across linear matrix spaces, highlighting geometric structures in Lie algebras and quantum Hamiltonians.
Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.
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Rocco et al. (2026) studied this question.
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