Independence of automorphism group, center, and state space of quantum logics
Journal Article
·
· International Journal of Theoretical Physics
- Technical Univ. of Prague (Czech Republic)
We prove that quantum logics (-orthomodular posets) admit full independence of the attributes important within the foundations of quantum mechanics. Namely, we present the construction of quantum logics with given sublogics (=physical subsystems), automorphism groups, centers (={open_quotes}classical parts{close_quotes} of the systems), and state spaces. Thus, all these {open_quotes}parameters{close_quotes} are independent. Our result is rooted in the line of investigation carried out by Greechie; Kallus and Trnkova; Kalmbach; and Navara and Ptak; and considerably enriches the known algebraic methods in orthomodular posets. 19 refs., 1 fig.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 133258
- Journal Information:
- International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 6 Vol. 31; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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