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Hamiltonian - Scholarpedia

# Hamiltonian

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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.