Partial Hilbert spaces and amplitude functions
Gudder, Stanley
Annales de l'I.H.P. Physique théorique, Tome 45 (1986), p. 311-326 / Harvested from Numdam
Publié le : 1986-01-01
@article{AIHPA_1986__45_3_311_0,
     author = {Gudder, Stanley},
     title = {Partial Hilbert spaces and amplitude functions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {45},
     year = {1986},
     pages = {311-326},
     mrnumber = {868529},
     zbl = {0659.46025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1986__45_3_311_0}
}
Gudder, Stanley. Partial Hilbert spaces and amplitude functions. Annales de l'I.H.P. Physique théorique, Tome 45 (1986) pp. 311-326. http://gdmltest.u-ga.fr/item/AIHPA_1986__45_3_311_0/

[1] R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965. | Zbl 0176.54902

[2] D. Foulis and C. Randall, Operational Statistics I. Basic Concepts, J. Math. Phys., t. 13, 1972, p. 1167-1175. | MR 416417 | Zbl 0287.60002

[3] D. Foulis and C. Randall, The empirical logic approach to the physical sciences, in: Foundations of Quantum Mechanics and Ordered Linear Spaces (Hartkampfer and Neumann, Eds.), Springer Verlog, Heidleberg, 1974, p. 230-249. | MR 479146 | Zbl 0292.02028

[4] D. Foulis and C. Randall, What are quantum logics and what ought they to be? in: Current Issues in Quantum Logic, Beltrametti and Van Franssen, Eds., Plenum Press, New York, 1981, p. 35-52. | MR 723148

[5] D. Foulis and C. Randall, Empirical logic and tensor products, in: Interpretations and Foundations of Quantum Theory, H. Neumann, Ed., B. I. Wissenschaftsverlog, Bibliographisches Institut, Mannheim, 1981, p. 9-20. | MR 683888 | Zbl 0495.03041

[6] S. Gudder, Hilbertian interpretations of manuals, Proc. Amer. Math. Soc., t. 85, 1982, 251-255. | MR 652452 | Zbl 0498.03049

[7] S. Gudder, Amplitude phase-space model for quantum mechanics, Intern. J. Theor. Phys., t. 24, 1985, p. 343-353. | MR 793843 | Zbl 0563.60099

[8] C. Randall and D. Foulis, Operational statistics II. Manuals of operations and their logics, J. Math. Phys., t. 14, 1972, p. 1472-1480. | MR 416418 | Zbl 0287.60003

[9] C. Randall and D. Foulis, The Operational approach to quantum mechanics, in: The Logico-Algebraic Approach to Quantum Mechanics III. Physical Theory as Logical-Operational Structures, C. Hooker, Ed., Reidel, Dordrecht, 1978, p. 167-201. | MR 535608

[10] C. Randall and D. Foulis, Operational statistics and tensor products, in: Interpretations and Foundations of Quantum Theory, H. Neumann, Ed., B. I. Wissenschaftsverlag, Bibliographisches Institut, Mannheim, 1981, p. 21-28. | MR 683889 | Zbl 0495.03042