Lattice operations between observables in axiomatic quantum mechanics (Q1070226)
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scientific article; zbMATH DE number 3935037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice operations between observables in axiomatic quantum mechanics |
scientific article; zbMATH DE number 3935037 |
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Lattice operations between observables in axiomatic quantum mechanics (English)
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1985
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Treating observables as \(\sigma\)-homomorphisms of the Borel sets of the real line into an orthomodular \(\sigma\)-lattice L, the author introduces meet and join operations among them in terms of corresponding spectral resolutions, showing that 1) they form a lattice in case L is \(\sigma\)- continuous, and 2) given a set of commuting observables, all its polynomials form a lattice.
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orthomodular lattice
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spectral resolutions
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