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A normalized, countably additive projection-valued measure on a measurable space, with and mutually orthogonal projections on disjoint sets.
A spectral measure is a projection-valued measure, hence a special POVM.
wp-spectral_measurenlab-spectral_measureEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The spectral theorem associates a projection-valued measure to a self-adjoint operator.
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.
wp-spectral_measurenlab-spectral_measureEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Projection-valued measures represent ideal sharp measurements.
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.
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