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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: George Mackey
Title: Unitary group representations in physics, probability, and number theory
Additional book information: Benjamin/Cummings, Reading, Mass., 1978, xiv + 402 pp., $19.50.

References [Enhancements On Off] (What's this?)

  • 1. Josef M. Jauch, Foundations of quantum mechanics, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0218062
  • 2. P. A. M. Dirac, Principles of quantum mechanics, 4th ed., Clarendon Press, Oxford, 1958.
  • 3. G. Mackey, Group representations, Oxford Notes, 1966-1967.
  • 4. G. Mackey, The mathematical foundations of quantum mechanics, Benjamin, New York, 1963.
  • 5. George W. Mackey, Induced representations of groups and quantum mechanics, W. A. Benjamin, Inc., New York-Amsterdam; Editore Boringhieri, Turin, 1968. MR 0507212
  • 6. George W. Mackey, The theory of unitary group representations, University of Chicago Press, Chicago, Ill.-London, 1976. Based on notes by James M. G. Fell and David B. Lowdenslager of lectures given at the University of Chicago, Chicago, Ill., 1955; Chicago Lectures in Mathematics. MR 0396826
  • 7. Asim O. Barut and Ryszard Rączka, Theory of group representations and applications, PWN—Polish Scientific Publishers, Warsaw, 1977. MR 0495836
  • 8. J. M. Jauch, The mathematical structure of elementary quantum mechanics, Sympos. on the Development of the Physicist's Conception of Nature in the Twentieth Century, (ed. J. Mehra), Reidel, Dordrecht, 1973.
  • 9. V. S. Varadarajan, The geometry of quantum theory, VanNostrand, Princeton, N. J., 1968, 1970, originally Lecture Notes, Indian Statistical Institute, Calcutta, India, 1965.
  • 10. Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Unveränderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band 38, Springer-Verlag, Berlin-New York, 1968 (German). MR 0223138
  • 11. Bernard d’Espagnat, Conceptual foundations of quantum mechanics, W. A. Benjamin, Inc., Menlo Park, Calif., 1971. The W. A. Benjamin Mathematical Physics Monograph Series. MR 0522284
    Bernard d’Espagnat, Conceptual foundations of quantum mechanics, Second revised edition, W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1976. Mathematical Physics Monograph, No. 20. MR 0522285
  • 12. G. Temple, The general principles of quantum theory, Methuen Monographs, London, 1934.
  • 13. G. Spencer Brown, Laws of form, The Julian Press, Inc., New York, 1972. MR 0416823

Review Information:

Reviewer: Karl Gustafson
Journal: Bull. Amer. Math. Soc. 2 (1980), 225-229