Transition amplitude spaces and quantum logics with vector-valued states. (English) Zbl 0704.03045
In the present paper, the relationship between transition amplitude spaces [see S. Gudder and S. Pulmannová, J. Math. Phys. 28, 2393-2399 (1987; Zbl 0646.46073)] (i.e. spaces which are near to Hilbert spaces) and quantum logics with quite rich sets of vector-valued states is investigated.
Reviewer: A.Dvurečenskij
MSC:
| 03G12 | Quantum logic |
| 81P10 | Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) |
| 46N50 | Applications of functional analysis in quantum physics |
Citations:
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