Position Operator $$ \hat{x}|\psi\rangle = x|\psi\rangle $$ Momentum Operator $$ \hat{p} = -i\hbar\frac{\partial}{\partial x} $$ Hamiltonian (Energy) $$ \hat{H} = \frac{\hat{p}^2}{2m} + V(\hat{x}) $$ Commutator $$ [\hat{x}, \hat{p}] = i\hbar $$ Further Reading Operator (Physics) - Wikipedia