Orthogonal forms and transition probability in von Neumann algebras (Q803496)
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scientific article; zbMATH DE number 4200956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal forms and transition probability in von Neumann algebras |
scientific article; zbMATH DE number 4200956 |
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Orthogonal forms and transition probability in von Neumann algebras (English)
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1990
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For a quantum system described by a lattice of orthogonal projections in some von Neumann algebra, a simple axiomatic for a probability amplitude of a system of n filters is proposed. It is shown that, in case \(n=1\) or \(n=2\), the amplitude is determined uniquely, up to a phase factor, by the corresponding transition probability. A relevant optical experiment is described.
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quantum system described by a lattice of orthogonal projections in some von Neumann algebra
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axiomatic for a probability amplitude of a system of n filters
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transition probability
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optical experiment
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