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A distribution whose values act as operators on a state space, providing the mathematically appropriate local-field notion in many QFT frameworks.
wp-physics-operator_valued_distributionnlab-physics-operator_valued_distributiontong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Quantum fields are generally operator-valued distributions smeared against test functions.
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.
wp-physics-operator_valued_distributionnlab-physics-operator_valued_distributionwp-distribution_spacenlab-distribution_spaceThis is an authored directed relation from the source endpoint to the target endpoint.
A local quantum field is rigorously interpreted as an operator-valued distribution that must be smeared with test functions, not as a well-defined pointwise operator.
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
wp-physics-operator_valued_distributionnlab-physics-operator_valued_distributionwp-physics-quantum_field_theorynlab-physics-quantum_fieldtong-qftThis is an authored directed relation from the source endpoint to the target endpoint.
Quantum fields are smeared against smooth test functions, often Schwartz functions in Minkowski-space treatments.
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.
wp-physics-operator_valued_distributionnlab-physics-operator_valued_distributionwp-schwartz_spacenlab-schwartz_spaceEach relation below starts at this concept.
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