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Stone theorem

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Summary

Strongly continuous one-parameter unitary groups correspond to self-adjoint generators.

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Carrier(s)

Data

Axioms / constraints

Canonically induces

Notes

An isolated unitary operator does not satisfy the hypotheses; the theorem concerns a continuous one-parameter group.

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Stone theoremUnitary time evolution

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Stone’s theorem establishes the correspondence between strongly continuous one-parameter unitary groups and self-adjoint generators; it is a theorem about the formalism rather than the formalism itself.

How to interpret this relation type

Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.

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