×

zbMATH — the first resource for mathematics

\(C^ *\)-algèbres des systèmes canoniques. I. (French) Zbl 0144.23401

Keywords:
quantum theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Kastler, D.: Commun. math. Phys.1, 14 (1965). · Zbl 0137.45601 · doi:10.1007/BF01649588
[2] Mackey, G. W.: Acta Math.99, 265 (1958). · Zbl 0082.11301 · doi:10.1007/BF02392428
[3] Wigner, E.: Phys. Rev.40, 749 (1932). · Zbl 0004.38201 · doi:10.1103/PhysRev.40.749
[4] Moyal, J. E.: Proc. Cambridge Phil. Soc.45, 99 (1949). · doi:10.1017/S0305004100000487
[5] Baker, G. A.: Phys. Rev.109, 2198 (1958). · doi:10.1103/PhysRev.109.2198
[6] Bargmann, V.: Commun. Pure and Appl. Math.14, 187 (1961). · Zbl 0107.09102 · doi:10.1002/cpa.3160140303
[7] Segal, I.: Illinois J. Math.6, 500 (1962).
[8] Michel, L.: Invariance in Quantum Mechanics and Group extensions. Manuscript, I.H.E.S. Bures-sur-Yvette. Seine et Oise, France.
[9] Chevalley, C.: Théorie des groupes de Lie. Tome III. Actualités Scientifiques et Industrielles. Paris: Hermann 1955.
[10] Dixmier, J.: LesC*-alèbres et leurs représentation. Paris: Gauthier-Villars 1964.
[11] Fell, J. M. G.: Proc. Am. Math. Soc.13, 93 (1962). · doi:10.1090/S0002-9939-1962-0133404-1
[12] Hewitt, E., andK. A. Ross: Abstract Harmonic Analysis. Berlin-Göttingen-Heidelberg: Springer 1963. · Zbl 0115.10603
[13] Rudin, W.: Fourier Analysis on Groups. New York: John Wiley 1962. · Zbl 0107.09603
[14] Dixmier, J.: Les Algèbres d’opérateurs dans l’Espace Hilbertien. Paris: Gauthier-Villars 1957. · Zbl 0088.32304
[15] Weyl, H.: The Theory of Groups and Quantum Mechanics. London: Methnen 1931. · JFM 58.1374.01
[16] Bourbaki, N.: Espaces vectoriels topologiques. Fascicule de Résultats. Actualités Scientifiques et Industrielles. Paris: Hermann 1955.
[17] Rickart, C. E.: General Theory of Banach Algebras. Princeton-London-Toronto: Van Nostrand (1960). · Zbl 0095.09702
[18] Schwartz, L.: Théorie des Distributions. Tome II. Actualités Scientifiques et Industrielles. Paris: Hermann 1959.
[19] Souriau, J. M.: Commun. math. Phys1, 374–398 (1966).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.