# Hamiltonian

From Scholarpedia

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\( H:D(H)\subseteq \mathcal H\rightarrow \mathcal H\ ,\) where \(\mathcal H\) is an Hilbert space.