Conditional probability in quantum axiomatics

Wawrzyniec Guz

Annales de l'I.H.P. Physique théorique (1980)

  • Volume: 33, Issue: 1, page 63-119
  • ISSN: 0246-0211

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Guz, Wawrzyniec. "Conditional probability in quantum axiomatics." Annales de l'I.H.P. Physique théorique 33.1 (1980): 63-119. <http://eudml.org/doc/76088>.

@article{Guz1980,
author = {Guz, Wawrzyniec},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {experimental procedures; covering law; pure states; Jordan-Banach algebra},
language = {eng},
number = {1},
pages = {63-119},
publisher = {Gauthier-Villars},
title = {Conditional probability in quantum axiomatics},
url = {http://eudml.org/doc/76088},
volume = {33},
year = {1980},
}

TY - JOUR
AU - Guz, Wawrzyniec
TI - Conditional probability in quantum axiomatics
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 33
IS - 1
SP - 63
EP - 119
LA - eng
KW - experimental procedures; covering law; pure states; Jordan-Banach algebra
UR - http://eudml.org/doc/76088
ER -

References

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  1. [1] E.M. Alfsen, Compact convex sets and boundary integrals, Springer, Berlin, 1971. Zbl0209.42601MR445271
  2. [2] E.M. Alfsen and F.W. Shultz, Bull. Amer. Math. Soc., t. 81, 1975, p. 893. Zbl0337.46014MR377549
  3. [3] E.M. Alfsen and F.W. Shultz, Mem. Amer. Math. Soc., vol. 6, No. 172, 1976. Zbl0337.46013MR412822
  4. [4] E.M. Alfsen, F.W. Shultz and E. Størmer, Advances in Math., t. 28, 1978, p. 11. Zbl0397.46065MR482210
  5. [5] E.M. Alfsen and F.W. Shultz, Acta Math., t. 140, 1978, p. 155. Zbl0397.46066MR472949
  6. [6] E.M. Alfsen and F.W. Shultz, Proc. London. Math. Soc., t. 38, 1979, p. 497. Zbl0404.46028MR532984
  7. [7] G. Birkhoff and J. Von Neumann, Ann. Math., t. 37, 1936, p. 823. Zbl0015.14603JFM62.1061.04
  8. [8] K. Bugajska and S. Bugajski, Reports on Math. Phys., t. 4, 1973, p. 1. Zbl0266.70003MR317660
  9. [9] K. Bugajska and S. Bugajski, Bull. Acad. Polon. Sci., Ser. math., t. 21, 1973, p. 873. MR329454
  10. [10] K. Bugajska and S. Bugajski, Ann. Inst. H. Poincaré, t. 19, 1973, p. 333. MR359556
  11. [11] R. Cirelli and P. Cotta-Ramusino. Int. J. Theor. Phys., t. 8, 1973, p. 11. MR363182
  12. [12] R. Cirelli and P. Cotta-Ramusino, Ibid., t. 11, 1974, p. 1. 
  13. [13] E.B. Davies and J.T. Lewis, Commun. muth. Phys., t. 17, 1970, p. 239. Zbl0194.58304MR263379
  14. [14] E.B. Dynkin, Markovian processes, Moscow, 1963 (in Russian). Zbl0132.37701
  15. [15] C.M. Edwards, Commun. math. Phys., t. 16, 1970, p. 207. Zbl0187.25601MR273943
  16. [16] C.M. Edwards and M.A. Gerzon, Ann. Inst. H. Poincaré, t. 12, 1970, p. 323. Zbl0197.38201MR268644
  17. [17] A.J. Ellis, J. London Math. Soc., t. 14, 1964, p. 399. 
  18. [18] G.G. Emch, Algebraic methods in statistical mechanics and quantum field theory, Wiley-Interscience, New York, 1972. Zbl0235.46085
  19. [19] S.P. Gudder, J. Math. Phys., t. 11, 1970, p. 1037. Zbl0191.26901
  20. [20] S.P. Gudder, Pac. J. Math., t. 19, 1966, p. 81. Zbl0149.23603MR201146
  21. [21] J. Gunson, Commun. math. Phys., t. 6, 1967, p. 262. Zbl0171.46804MR230525
  22. [22] W. Guz, Reports on Math. Phys., t. 6, 1974, p. 445. 
  23. [23] W. Guz, Ibid., t. 7, 1975, p. 313. Zbl0326.70004
  24. [24] W. Guz, Ibid., t. 8, 1975, p. 49. MR418731
  25. [25] W. Guz, Ibid., t. 12, 1977, p. 151. Zbl0399.60006MR471679
  26. [26] W. Guz, Ibid., t. 12, 1977, p. 285. Zbl0375.46008MR511675
  27. [27] W. Guz, Ann. Inst. H. Poincaré, t. 28, 1978, p. 1. MR495046
  28. [28[ W. Guz, Ibid., t. 29, 1978, p. 357. Zbl0398.03052MR525388
  29. [29] W. Guz, Ibid., t. 30, 1979, p. 223. Zbl0427.03054MR546188
  30. [30] W. Guz, Reports on Math. Phys., t. 16, 1979, p. 125. Zbl0436.03052MR562796
  31. [31] W. Guz, Reports on Math. Phys., in print. 
  32. [32] W. Guz, Ann. Inst. H. Poincaré, submitted for publication. 
  33. [33] G. Jameson, Ordered linear spaces, Springer, Berlin, 1970. Zbl0196.13401MR438077
  34. [34] J.M. Jauch, Foundations of quantum mechanics, Addison-Wesley, Reading, Mass., 1968. Zbl0166.23301MR218062
  35. [35] J.M. Jauch and C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 842. Zbl0181.27603MR251966
  36. [36] P. Jordan, J. Von Neumann and E. Wigner, Ann. Math., t. 35, 1934, p. 29. Zbl0008.42103JFM60.0902.02
  37. [37] A. Kossakowski, Bull. Acad. Polon. Sci., Ser. math., t. 20, 1972, p. 1021. MR363278
  38. [38] G. Ludwig, Grundlegung Physikalischer Theorien, Teil I und II, Univ. Marburg, 1968, 1970. 
  39. [39] G.W. Mackey, Amer. Math. Monthly, t. 64, 1957, p. 45. Zbl0137.23805MR96112
  40. [40] G.W. Mackey, The mathematical foundations of quantum mechanics, Benjamin, New York, 1963. Zbl0114.44002
  41. [41] M.D. Maclaren, Argonne Nat. Lab. Report ANL-7065, 1965. 
  42. [42] M.J. Maczynski, Bull. Acad. Polon. Sci., Ser. math., t. 15, 1967, p. 583. Zbl0203.00801MR224343
  43. [43] M.J. Maczynski, Reports on Math. Phys., t. 3, 1972, p. 209. 
  44. [44] B. Mielnik, Commun. math. Phys., t. 15, 1969, p. 1. Zbl0182.59601MR258357
  45. [45] B. Mielnik, Commun. math. Phys., t. 37, 1974, p. 221. MR428948
  46. [46] P.E. Miles, Trans. Amer. Math. Soc., t. 107, 1963, p. 217. Zbl0118.32006MR147924
  47. [47] M.A. Naimark, Normed rings, Moscow, 1956 (in Russian). MR90786
  48. [48] J. Von Neumann, Mat. Sb., t. 1, 1936, p. 415. 
  49. [49] W. Ochs, Commun. math, Phys., t. 25, 1972, p. 245. Zbl0229.02028MR297222
  50. [50] C. Piron, Helv. Phys. Acta, t. 37, 1964, p. 439. Zbl0141.23204MR204048
  51. [51] C. Piron, Foundations of quantum physics, Benjamin, London, 1976. Zbl0333.46050MR673578
  52. [52] J.C.T. Pool, Commun. math. Phys., t. 9, 1968, p. 118. Zbl0159.59602MR229431
  53. [53] J.C.T. Pool, Ibid., t. 9, 1968, p. 212. Zbl0165.28902MR233558
  54. [54] J.C.T. Pool, Argonne Nat. Lab. Report TM-208, 1970. 
  55. [55] S. Pulmannova, Commun. math. Phys., t. 49, 1976, p. 47. MR431978
  56. [56] H.H. Schaefer, Topological vector spaces, Macmillan, New York, 1966. Zbl0141.30503MR193469
  57. [57] I.E. Segal, Ann. Math., t. 48, 1947, p. 930. Zbl0034.06602MR22652
  58. [58] I.E. Segal, Mathematical problems of relativistic physics, Providence, 1963. Zbl0112.45307MR144227
  59. [59] M.D. Srinivas, J. Math. Phys., t. 16, 1975, p. 1672. 
  60. [60] E. Størmer, Proc. London Math. Soc., t. 18, 1968, p. 245. 
  61. [61] V.S. Varadarajan, Commun. Pure Appl. Math., t. 15, 1962, p. 189. Zbl0109.44705MR163616
  62. [62] V.S. Varadarajan, Geometry of quantum theory, vol. 1, Van Nostrand, Princeton, 1968. Zbl0155.56802MR471674
  63. [63] K. Yosida, Functional analysis, Springer, Berlin, 1965. Zbl0126.11504
  64. [64] N. Zierler, Pac. J. Math., t. 11, 1961, p. 1151. Zbl0138.44503MR140972
  65. [65] N. Zierler, Ibid., t. 19, 1966, p. 583. Zbl0148.43804MR202647
  66. [66] S.P. Gudder, Int. J. Theor. Phys., t. 7, 1973, p. 205. 

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