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A function on phase space that generates Hamiltonian time evolution; in quantum theory the Hamiltonian is normally a self-adjoint operator.
wp-physics-hamiltonian_mechanicsnlab-physics-hamiltoniancambridge-classical-dynamicstong-quantumEach relation below ends at this concept.
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Hamiltonian mechanics formulates dynamics using a Hamiltonian on phase space.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-hamiltonian_mechanicsnlab-physics-hamiltonian_mechanicsnlab-physics-hamiltonianThis is an authored directed relation from the source endpoint to the target endpoint.
A self-adjoint Hamiltonian generates unitary time evolution.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
wp-physics-unitary_time_evolutionnlab-physics-quantum_mechanicswp-physics-hamiltonian_mechanicsnlab-physics-hamiltonian