Distance between states and statistical inference in quantum theory
Hadjisavvas, N.
Annales de l'I.H.P. Physique théorique, Tome 35 (1981), p. 287-309 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1981__35_4_287_0,
     author = {Hadjisavvas, N.},
     title = {Distance between states and statistical inference in quantum theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {35},
     year = {1981},
     pages = {287-309},
     mrnumber = {650134},
     zbl = {0485.46037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1981__35_4_287_0}
}

Hadjisavvas, N. Distance between states and statistical inference in quantum theory. Annales de l'I.H.P. Physique théorique, Tome 35 (1981) pp. 287-309. http://gdmltest.u-ga.fr/item/AIHPA_1981__35_4_287_0/

[1] A. Wehrl, Rev. Mod. Phys., t. 50, 1978, p. 221-260. | MR 496300

[2] M.B. Ruskai, Ann. Inst. H. Poincaré, t. 19, 1973, p. 357. | Numdam | MR 349182 | Zbl 0288.46062

[3] J. Cyranski, Found. Phys., t. 8, 1978, p. 805. | MR 495095

[4] W. Ochs, Rep. Math. Phys., t. 8, 1975, p. 109. | MR 434290

[5] A. Uhlmann, Rep. Math. Phys., t. 1, 1970, p. 147. | Zbl 0209.43101

[6] R. Ingarden, Rep. Math. Phys., t. 10, 1976, p. 43. | Zbl 0366.94032

[7] I. Bialynicki-Birula and J. Mycielski, Comm. Math. Phys., t. 44, 1975, p. 129. | MR 386550

[8] E.T. Jaynes, Phys. Rev., t. 106, 1957, p. 620; t. 108, 1957, p. 171. | Zbl 0084.43701

[9] N. Hadjisavvas, Ann. Fond. Louis de Broglie, t. 3, 1978, p. 155.

[10] S. Gudder, J.P. Marchand and W. Wyss, J. Math. Phys., t. 20, 1979, p. 1963. | MR 546251 | Zbl 0425.60095

[11] S. Kullback, Information theory and statistics. Wiley, New York, 1959. | MR 103557 | Zbl 0088.10406

[12] I. Csiszar, Stud. Scient. Math. Hung., t. 2, 1967, p. 299. | Zbl 0157.25802

[13] S. Gudder, Comm. Math. Phys., t. 29, 1973, p. 249. | MR 342092

[14] S. Gudder, J.P. Marchand and W. Wyss, J. Math. Phys., t. 20, 1979, p. 1963. | MR 546251 | Zbl 0425.60095

[15] V. Cantoni, Comm. Math. Phys., t. 44, 1975, p. 125. | MR 389088

[16] S. Gudder, Comm. Math. Phys., t. 63, 1978, p. 265. | MR 513904 | Zbl 0391.60100

[17] H. Hadjisavvas, Commun. Math. Phys., 1981 (to be published).

[18] J.M. Jauch, B. Misra and A.G. Gibson, Helv. Phys. Acta, t. 41, 1968, p. 513. | Zbl 0179.58303

[19] B. Misra, in Physical reality and Mathematical description. C. Enz and J. Mehra eds, D. Reidel publishing company, Dortrecht, Holland, 1974. | MR 465649

[20] N.S. Kronfli, Int. J. Theor. Phys., t. 3, 1970, p. 191.

[21] J.M. Jauch, Foundations of Quantum Mechanics. Addisson-Wesley, Reading, Mass, 1968). | MR 218062 | Zbl 0166.23301

[22] J. Von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton Univers. press, Princeton, 1955. | Zbl 0064.21503

[23] A.M. Gleason, J. of Rat. mech. and Analysis, t. 6, 1957, p. 885. | MR 96113 | Zbl 0078.28803

[24] R. Schatten, Theory of cross-norm spaces, Princeton, 1950.

[25] N. Hadjisavvas, Lett. math. Phys., t. 5, 1981, p. 327. | MR 626300

[26] B. D'Espagnat, Conceptual Foundations of Quantum Mechanics. W. A. Benjamin Inc., 1971.

[27] N. Hadjisavvas, J. Stat. Phys., t. 26, 1981, p. 693. | MR 648997

[28] K. Friedmann and A. Shimony, J. Stat. Phys., t. 3, 1971, p. 301.

[29] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1969. | Zbl 0175.43801

[30] I. Singer, Best approximation in normed linear spaces by elements of linear subspaces. Springer Verlag, 1970. | MR 270044 | Zbl 0197.38601

[31] I. Singer, The theory of best approximation and functional analysis, S. I. A. M., Philadelphia, 1974. | MR 374771 | Zbl 0291.41020

[32] E. Prygovecki, Quantum Mechanics in Hilbert space (Academic Press, 1971). | Zbl 0217.44204

[33] K. Bugajska and S. Bugaski, Bull. Acad. Pol. Sci., t. 21, 1976, p. 873.

[34] E.G. Beltramenti and G. Cassinelli, Riv., Nuov. Cim., t. 6, 1976, p. 321.

[35] A. Messiah, Mécanique Quantique, Dunod, Paris, 1965. | MR 129304

[36] C. Piron, Foundations of Quantum Physics. W. A. Benjamin, Reading, Mass., 1976. | MR 673578 | Zbl 0333.46050

[37] N. Hadjisavvas and M. Mugur-Schächter, Lett. Nuovo Cim., t. 23, 1978, p. 439. | MR 515971