In mathematical formulations of quantum mechanics, an operator is a linear transformation from a Hilbert space to itself. An observable is a self-adjoint operator. By extension, operator is also used to refer to an element of a C*-algebra. For the justification of this usage, see Gelfand–Naimark theorem

List of quantum mechanical operators

• Position operator
• Momentum operator
• Spin operator
• Angular momentum operator
• Acceleration operator
• Annihilation operator
• Creation operator
• Evolution operator
• Hamiltonian operator
• Kinetic energy operator
• Ladder operator

See also

• Bounded linear operator

Operator theory | Theoretical physics

Opérateur (physique)