Hamiltonian

This is a disambiguation page for Hamiltonian

• In the context of Hamiltonian systems a (classical) Hamiltonian is a function over phase space.
• In quantum mechanics a (quantum) Hamiltonian, is a self-adjoint linear operator$H:D(H)\subseteq \mathcal{H}\to \mathcal{H},$ where $\mathcal{H}$ is an Hilbert space.