Group representations by automorphisms of a proposition system
Franco Gallone; Alessandro Mania'
Annales de l'I.H.P. Physique théorique (1971)
- Volume: 15, Issue: 1, page 37-59
- ISSN: 0246-0211
Access Full Article
topHow to cite
topGallone, Franco, and Mania', Alessandro. "Group representations by automorphisms of a proposition system." Annales de l'I.H.P. Physique théorique 15.1 (1971): 37-59. <http://eudml.org/doc/75706>.
@article{Gallone1971,
author = {Gallone, Franco, Mania', Alessandro},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {37-59},
publisher = {Gauthier-Villars},
title = {Group representations by automorphisms of a proposition system},
url = {http://eudml.org/doc/75706},
volume = {15},
year = {1971},
}
TY - JOUR
AU - Gallone, Franco
AU - Mania', Alessandro
TI - Group representations by automorphisms of a proposition system
JO - Annales de l'I.H.P. Physique théorique
PY - 1971
PB - Gauthier-Villars
VL - 15
IS - 1
SP - 37
EP - 59
LA - eng
UR - http://eudml.org/doc/75706
ER -
References
top- [1] G. Birkhoff and J. von Neumann, Ann. Math., t. 37, 1936, p. 823. Zbl0015.14603JFM62.1061.04
- [2] G.W. Mackey, The Mathematical Foundations of Quantum Mechanics, New York, 1963; Zbl0114.44002
- J.M. Jauch, Foundations of Quantum Mechanics, Reading, Massachusetts, 1968; Zbl0166.23301MR218062
- V.S. Varadarajan, Geometry of Quantum Theory, vol. I, Princeton, 1968 ; Zbl0155.56802MR471674
- J.M. Jauch and C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 842. Zbl0181.27603MR251966
- [3] C. Piron, Helv. Phys. Acta, t. 37, 1964, p. 439. Zbl0141.23204MR204048
- [4] E.C.G. Stueckelberg, Helv. Phys. Acta, t. 33, 1960, p. 727 ; E.C.G. Stueckelberg and M. Guenin, Helv. Phys. Acta, t. 34, 1961, p. 621. Zbl0102.21702MR127207
- [5] D. Finkelstein, J.M. Jauch and D. Speiser, J. Math. Phys., t. 3, 1962, p. 207 ; t. 4, 1963, p. 136, p. 788; MR142690
- G. Emch, Helv. Phys. Acta, t. 36, 1963, p. 739, p. 770. Zbl0113.43402
- [6] I. Amemiya and H. Araki, Publ. Research Inst. Math. Kyoto Univ., t. A 2, 1967, p. 423. Zbl0177.16103MR213266
- [7] M. Guenin, J. Math. Phys., t. 7, 1966, p. 271 ; Zbl0195.28401MR189525
- C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 330; C. Piron, Lecture Notes of Varenna Summer School, 1970. Zbl0181.27502MR243791
- [8] G. Emch and C. Piron, J. Math. Phys., t. 4, 1963, p. 469. Zbl0113.21105MR148349
- [9] E.P. Wigner, Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra, p. 251-253, New York, 1959. Zbl0085.37905MR106711
- [10] B. Mielnik, Commun. Math. Phys., t. 9, 1968, p. 55; t. 15, 1969, p. 1. Zbl0164.29501
- [11] S. Gudder, Commun. Math. Phys., t. 12, 1969, p. 1. Zbl0169.56702
- [12] G. Rose, Z. Physik, t. 181, 1964, p. 331. MR181247
- [13] G.W. Mackey, Theory of Group Representations, Chicago, Department of Mathematics, University of Chicago, 1955.
- [14] I. Schur, Neue Begründung der Theorie der Gruppencharaktere, Sitzungsber. Preuss. Akad., 1905. JFM36.0194.01
- [15] See MACKEY'S lecture notes quoted in ref. [13] and also Prop. 1.2 and Prop. 1.3 in G.A. Pozzi,Nuovo Cimento , Suppl. 4, 1966, p. 37. Zbl0163.22704
- [16] Th. Kahan, Théorie des Groupes en Physique Classique et Quantique, t. 1, Paris, 1960, p. 47;
- L.S. Pontryagin, Topological Groups, New York, 1966, p. 216.
- [17] G.C. Wick, A.S. Wightman and E.P. Wigner, Phys. Rev., t. 88, 1952, p. 101 ; Zbl0046.43906MR53796
- A.S. Wightman, Nuovo Cimento, Suppl. 14, 1959, p. 81. MR113606
- [18] C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 330; see also the appendix of Mackey's book quoted in ref. [2]. Zbl0181.27502MR243791
- [19] L.H. Loomis, Mem. Amer. Math. Soc., t. 18, 1955. Zbl0067.08702MR73960
- [20] J.M. Jauch, Helv. Phys. Acta, t. 33, 1960, p. 711 ; Zbl0119.43603MR121096
- J.M. Jauch and B. MISRA, Helv. Phys. Acta, t. 34, 1961, p. 699. Zbl0115.44001MR137491
- [21] J.P. Antoine, J. Math. Phys., t. 10, 1969, p. 53. Zbl0172.56602MR255177
- [22] M. Guenin, J. Math. Phys., t. 7, 1966, p. 271. Zbl0195.28401
- [23] G. Birkhoff, Lattice Theory, New York, 1948 ; Zbl0033.10103MR29876
- G. Szász, Introduction to Lattice Theory, New York, 1963. Zbl0126.03703MR166118
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.