Partial Hilbert spaces and amplitude functions

Stanley Gudder

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 3, page 311-326
  • ISSN: 0246-0211

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Gudder, Stanley. "Partial Hilbert spaces and amplitude functions." Annales de l'I.H.P. Physique théorique 45.3 (1986): 311-326. <http://eudml.org/doc/76341>.

@article{Gudder1986,
author = {Gudder, Stanley},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {partial Hilbert spaces; strong dual; Cover spaces; Tensor products},
language = {eng},
number = {3},
pages = {311-326},
publisher = {Gauthier-Villars},
title = {Partial Hilbert spaces and amplitude functions},
url = {http://eudml.org/doc/76341},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Gudder, Stanley
TI - Partial Hilbert spaces and amplitude functions
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 3
SP - 311
EP - 326
LA - eng
KW - partial Hilbert spaces; strong dual; Cover spaces; Tensor products
UR - http://eudml.org/doc/76341
ER -

References

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  1. [1] R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965. Zbl0176.54902
  2. [2] D. Foulis and C. Randall, Operational Statistics I. Basic Concepts, J. Math. Phys., t. 13, 1972, p. 1167-1175. Zbl0287.60002MR416417
  3. [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. Zbl0292.02028MR479146
  4. [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. MR723148
  5. [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. Zbl0495.03041MR683888
  6. [6] S. Gudder, Hilbertian interpretations of manuals, Proc. Amer. Math. Soc., t. 85, 1982, 251-255. Zbl0498.03049MR652452
  7. [7] S. Gudder, Amplitude phase-space model for quantum mechanics, Intern. J. Theor. Phys., t. 24, 1985, p. 343-353. Zbl0563.60099MR793843
  8. [8] C. Randall and D. Foulis, Operational statistics II. Manuals of operations and their logics, J. Math. Phys., t. 14, 1972, p. 1472-1480. Zbl0287.60003MR416418
  9. [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. MR535608
  10. [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. Zbl0495.03042MR683889

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