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To be used for linear algebra, and closely related disciplines such as tensor algebras and maybe clifford algebras.

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How the matrix representation of a Hamiltonian affects the eigenvalues?

Suppose we're given the following Hamiltonian: $$\hat{H}=\frac{\omega}{\hbar} \left(\hat{S}_+^2+\hat{S}_-^2\right)$$ Suppose also that we measure $\vec{S}^2$ and get $6\hbar^2$, i.e. reduced to the $s …
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