Sep 29, 2015
Can anticommuting operators have a simulaneous eigenket?
Can anticommuting operators have a simulaneous eigenket?
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Question: Can anticommuting operators have a simulaneous eigenket? ([1] pr. 1.16)
Two Hermitian operators anticommute
\begin{equation}\label{eqn:anticommutingOperatorWithSimulaneousEigenket:20} \symmetric{A}{B} = A B + B A = 0. \end{equation}
Is it possible to have a simultaneous eigenket of \( A \) and \( B \)? Prove or illustrate your…
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