Each relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
story_canonical_quantization_to_canonical_commutation_relations_theory_component- Relation type
- Canonical construction
canonical-construction - Direction
- source → target
- Endpoint roles
- source: Canonically constructs; target: Canonically constructed from
- Authored annotation
- imposes canonical operator brackets
Authored explanation
For canonical coordinates and momenta, the quantization prescription yields the canonical commutation relations in representations where the operators and their domains are defined.
How to interpret this relation type
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.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
commutator_to_ccr- Relation type
- Mathematical formulation
mathematical-formulation - Direction
- source → target
- Endpoint roles
- source: Mathematically formulates; target: Mathematically formulated using
- Authored annotation
- canonical operator bracket
Authored explanation
Canonical commutation relations are equations for operator commutators, such as [Qi,Pj]=iℏδij.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.