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The 59 pages that link to Hamiltonian mechanics, each with the reason it gives.

• Virial theoremNarrower topic: Hamiltonian methods express virial relations for systems beyond simple point masses.

• N-body simulationNarrower topic: It explains why gravitational trajectories and energy conservation guide integrator design.

• Canonical quantizationNarrower topic: Canonical quantization takes its variables and dynamics from this classical framework.

• Hamilton–Jacobi equationNarrower topic: The equation is the Hamiltonian formalism's partial-differential counterpart.

• Microcanonical ensembleNarrower topic: Hamiltonian dynamics describes the energy-conserving trajectories represented in classical phase space.

• KAM theoryNarrower topic: KAM theory is formulated for perturbations of Hamiltonian dynamics.

• Action-angle variablesNarrower topic: Action-angle coordinates are canonical coordinates within this broader framework.

• Hamiltonian operatorNarrower topic: The quantum operator develops the energy-generating role of its classical counterpart.

• Integrable systemNarrower topic: Hamiltonian integrability is defined through conserved functions on phase space.

• Symplectic manifoldNarrower topic: Symplectic geometry supplies the structure behind its equations of motion.

• Adiabatic invariantNarrower topic: Adiabatic invariance is commonly derived for Hamiltonian systems with slowly varying parameters.

• Free particleNarrower topic: Its energy function provides the classical counterpart to a quantum free Hamiltonian.

• Paul EhrenfestNarrower topic: The theorem’s quantum averages mirror Hamiltonian equations for position and momentum.

• Classical statistical mechanicsNarrower topic: Its equations specify the microscopic dynamics underlying the statistical description.

• Bohr–van Leeuwen theoremNarrower topic: The theorem’s argument is expressed through the charged system’s Hamiltonian and phase-space measure.

• Potential wellNarrower topic: The Hamiltonian combines kinetic and potential energy to describe motion in a well.

• Schwinger's quantum action principleNarrower topic: Its canonical variables and equations provide a starting point for quantum dynamics.