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Canonical static concept record
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A procedure promoting canonical field variables and momenta to operators with commutation or anticommutation relations.
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Canonical quantization promotes field variables and momenta to operators, when the constraint and gauge structure can be handled.
A classical system or field theory is used to construct a quantum theory through a stated quantization procedure. Quantization need not be unique and is not guaranteed to preserve every classical structure.
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Canonical quantization begins from Hamiltonian phase-space variables and replaces suitable Poisson brackets by operator commutators, subject to ordering, domain, and constraint ambiguities.
A classical system or field theory is used to construct a quantum theory through a stated quantization procedure. Quantization need not be unique and is not guaranteed to preserve every classical structure.
wp-physics-canonical_quantizationnlab-physics-canonical_quantizationEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
For canonical coordinates and momenta, the quantization prescription yields the canonical commutation relations in representations where the operators and their domains are defined.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
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Canonical quantization is one route to QFT formulations.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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