| Title:
|
Remark on two papers concerning axiomatics of quantum mechanics (English) |
| Author:
|
Alda, Václav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
6 |
| Year:
|
1980 |
| Pages:
|
453-456 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure. (English) |
| Keyword:
|
space of states |
| Keyword:
|
algebra of yes-no experiments |
| MSC:
|
46L60 |
| MSC:
|
46N99 |
| MSC:
|
81B05 |
| MSC:
|
81P05 |
| idZBL:
|
Zbl 0469.46054 |
| idMR:
|
MR0596852 |
| DOI:
|
10.21136/AM.1980.103884 |
| . |
| Date available:
|
2008-05-20T18:15:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103884 |
| . |
| Reference:
|
[1] J. von Neumann: Mathematische Grundlagen der Quantenmechanik.Springer - Verlag, 1932. MR 0223138 |
| Reference:
|
[2] J. Gunson: On the Algebraic Structure Of Quantum Mechanics.Comm. Math. Phys., 6 (1967), 262-285. Zbl 0171.46804, MR 0230525, 10.1007/BF01646019 |
| Reference:
|
[3] S. Gudder: On the Quantum Logic Approach to Quantum Mechanics.Comm. Math. Phys., 12 (1969), 1-15. Zbl 0169.56702, MR 0250572, 10.1007/BF01646431 |
| Reference:
|
[4] J. C. T. Pool: Baer *-Semigroups and the Logic of Quantum.Mechanics. Comm. Math. Phys. 9 (1968), 118-141. MR 0229431, 10.1007/BF01645838 |
| . |
