From Scholarpedia - Reading time: 1 min
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.