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Graduate Can Commuting Operators in a Hilbert Space Share a Common Set of Eigenvectors?
Given a set of n<d commuting operators, either degenerate or non-degenerate, in a d-dimensional Hilbert space, is there an effective analytical method of finding an orthonormal basis composed of d eigenvectors common to all the operators in the set? The operators are dxd complex square matrices...- hanch
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- Bases Eigenvectors
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- Forum: Linear and Abstract Algebra