$\hat{p}=-i\frac{\partial}{\partial x}$ ^e2e556 # The momentum operator as the generator for the translation operator %%expand this section using page 45 of Sakurai%% --- # Proofs and examples ## Proof that the momentum operator is infinite dimensional This proof is shared in common with that of the [proof that the position operator is infinite dimensional.](Position%20Operator.md#Proof%20that%20the%20position%20operator%20is%20infinite%20dimensional)   #QuantumMechanics/QuantumMeasurement/QuantumObservables