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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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Classical Hamilton’s equations in quantum mechanics [duplicate]

How can one derive what the position operator is in momentum space for a quantum wave function from the classical Hamilton’s equations? Similarly, is a concept of an “angular momentum space” meaningfu …
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