Hamiltonian - davidar/scholarpedia GitHub Wiki

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