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Results tagged with operators
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user 45421
In physics, an operator is almost always either a square matrix or a linear mapping between two function spaces (defined on, say, $\mathbb R^n$). Operators serve as observables and as time evolution operators in Quantum Mechanics. This tag will most often find valid use in quantum mechanics; don't use this tag just because your equations contain "everyday operations" like $\times$, $+$!
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Trouble with proof about operators in QM
I would like to complete the following exercise:
Prove that if the operators $P_i$ satisfy $P_i^{\dagger}$ = $P_i$ and $P_i^2$ = $P_i$, then $P_iP_j=0$ for all $i\neq j$. … So $P_i$ is either $0$ or $\mathbb{I}$ but this is wrong because I think there should be more such operators than those two trivial ones... …
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