Given A and B is two linear, self-adjoint operators of a (separable) Hilbert space. Now if commutator of A and B is known, the eigenvalues and eigenvectors of A and B is known as well. Is there any relation between eigenvectors of A and B ?
2026-03-28 01:35:31.1774661731
Given the commutator of two operator,how to relate their eigenvectors?
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