Hilbert space representation of time evolution of pure states (Q1101559)
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scientific article; zbMATH DE number 4046039
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert space representation of time evolution of pure states |
scientific article; zbMATH DE number 4046039 |
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Hilbert space representation of time evolution of pure states (English)
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1987
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Under a reasonable assumpton it is shown that the set \(Tot_ A\) of pure states of a physical system provided with the Scott information topology is homeomorphic to a subset of the Cantor discontinuum. Moreover, any ``smooth'' nonlinear time evolution with the set \(Tot_ A\) as the phase space has a linear Hilbert space representation.
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pure states
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Scott information topology
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Cantor discontinuum
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phase space
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linear Hilbert space representation
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