Canonical quantization promotes canonical variables to operators and their Poisson brackets to canonical commutation relations. Composite observables require an ordering prescription, and quantum anomalies can modify their algebra.
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Canonical quantization is a formalism used in quantum mechanics to quantize classical systems, particularly in the context of field theory and particle physics. The framework provides a systematic way to transition from classical mechanics, described by Hamiltonian mechanics, to quantum mechanics. Here are the key steps and concepts involved in canonical quantization: 1. **Classical Hamiltonian Mechanics:** Start with a classical system described by a Lagrangian or Hamiltonian.