×

Projection postulate and superposition principle in non-lattice quantum logics. (English) Zbl 0473.03056


MSC:

03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)

References:

[1] K. Bugajska and S. Bugajski , Bull. Acad. Polon. Sci. , Ser. math. , t. 21 , 1973 , p. 873 . MR 329454
[2] K. Bugajska and S. Bugajski , Ann. Inst. H. Poincaré , t. 19 , 1973 , p. 333 . Numdam | MR 359556
[3] G. Emch and C. Piron , J. Math. Phys. , t. 4 , 1963 , p. 469 . MR 148349 | Zbl 0113.21105 · Zbl 0113.21105 · doi:10.1063/1.1703978
[4] S.P. Gudder , Ibid. , t. 11 , 1970 , 1037 . MR 261868 | Zbl 0191.26901 · Zbl 0191.26901 · doi:10.1063/1.1665193
[5] W. Guz , Reports Math. Phys. , t. 6 , 1974 , p. 445 . MR 389022
[6] W. Guz , Ibid. , t. 7 , 1975 , p. 313 . MR 495814 | Zbl 0326.70004 · Zbl 0326.70004 · doi:10.1016/0034-4877(75)90036-1
[7] W. Guz , Ibid. , t. 8 , 1975 , p. 49 . MR 418731
[8] W. Guz , Ann. Inst. H. Poincaré , t. 28 , 1978 , p. 1 . Numdam | MR 495046
[9] W. Guz , Ibid. , t. 29 , 1978 , p. 357 . Numdam | MR 525388 | Zbl 0398.03052 · Zbl 0398.03052
[10] W. Guz , Reports Math. Phys. , t. 16 , 1979 , p. 125 . MR 562796 | Zbl 0436.03052 · Zbl 0436.03052 · doi:10.1016/0034-4877(79)90045-4
[11] W. Guz , J. Phys. A. Math. Gen. , t. 13 , 1980 , p. 881 . Zbl 0431.03040 · Zbl 0431.03040 · doi:10.1088/0305-4470/13/3/021
[12] W. Guz , Reports Math. Phys. , t. 17 , 1980 , p. 223 . MR 630166 | Zbl 0481.76035 · Zbl 0481.76035 · doi:10.1007/BF00884475
[13] W. Guz , Ann. Inst. H. Poincaré , t. 33 , 1980 , p. 63 . Numdam | MR 593025 | Zbl 0454.03032 · Zbl 0454.03032
[14] J.M. Jauch , Foundutions of quantum mechanics , Addison-Wesley , Reading, Mass ., 1968 . MR 218062 | Zbl 0166.23301 · Zbl 0166.23301
[15] J.M. Jauch and C. Piron , Helv. Phys. Acta , t. 42 , 1969 , p. 842 . MR 251966 | Zbl 0181.27603 · Zbl 0181.27603
[16] M.D. Mac Laren , Argonne Nat. Lab. Report ANL-7065 , 1965 .
[17] G.W. Mackey , Amer. Math. Monthly , t. 64 , 1957 , p. 45 . MR 96112 | Zbl 0137.23805 · Zbl 0137.23805 · doi:10.2307/2308516
[18] G.W. Mackey , The mathematical foundations of quantum mechanics , Benjamin , New York , 1963 . Zbl 0114.44002 · Zbl 0114.44002
[19] B. Mielnik , Commun. math. Phys. , t. 15 , 1969 , p. 1 . Article | MR 258357 | Zbl 0182.59601 · Zbl 0182.59601 · doi:10.1007/BF01645423
[20] B. Mielnik , Ibid. , t. 37 , 1974 , p. 221 . Article | MR 428948
[21] W. Ochs , Ibid. , t. 25 , 1972 , p. 245 . Article | MR 297222 | Zbl 0229.02028 · Zbl 0229.02028 · doi:10.1007/BF01877592
[22] C. Piron , Foundations of quantum physics , Benjamin , London , 1976 . MR 673578 | Zbl 0333.46050 · Zbl 0333.46050
[23] J.C.T. Pool , Commun. math. Phys. , t. 9 , 1968 , p. 212 . Article | Zbl 0165.28902 · Zbl 0165.28902 · doi:10.1007/BF01645687
[24] S. Pulmannova , Ibid. , t. 49 , 1976 , p. 47 . MR 431978
[25] V.S. Varadarajan , Commun. Pure Appl. Math. , t. 15 , 1962 , p. 183 . MR 163616
[26] V.S. Varadarajan , Geometry of quantum theory , t. 1 , Van Nostrand , Princeton , 1968 . MR 471674 | Zbl 0155.56802 · Zbl 0155.56802
[27] N. Zierler , Pac. J. Math. , t. 11 , 1961 , p. 1151 . Article | MR 140972 | Zbl 0138.44503 · Zbl 0138.44503 · doi:10.2140/pjm.1961.11.1151
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.