The _position operator_ is an [observable](Observable.md) that corresponds with position in space. It is typically denoted as $\hat{x},$ $\hat{X},$ or $\hat{r},$ or $\hat{q},$ depending on the coordinate system we may be considering. %%You have to somehow describe the construction of continuous observables in general in order to procede. You need to sort out the notion of bounded, unbounded, and continuous and discrete somehow.%% # Eigenvalues and eigenvectors --- # Proofs and examples ## Proof that the position operator is infinite dimensional This proof is shared in common with that of the [proof that the momentum operator is infinite dimensional.](Momentum%20Operator.md#Proof%20that%20the%20momentum%20operator%20is%20infinite%20dimensional)   #QuantumMechanics/QuantumMeasurement/QuantumObservables