Book Review
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MathSciNet review:
1567217
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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.
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.
George W. Mackey, Induced representations of groups and quantum mechanics, W. A. Benjamin, Inc., New York-Amsterdam; Editore Boringhieri, Turin, 1968. MR 0507212
George W. Mackey, The theory of unitary group representations, Chicago Lectures in Mathematics, 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. MR 0396826
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.
Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Die Grundlehren der mathematischen Wissenschaften, Band 38, Springer-Verlag, Berlin-New York, 1968 (German). Unveränderter Nachdruck der ersten Auflage von 1932. MR 0223138
Bernard d’Espagnat, Conceptual foundations of quantum mechanics, Mathematical Physics Monograph Series, W. A. Benjamin, Inc., Menlo Park, Calif., 1971. MR 0522284
12. G. Temple, The general principles of quantum theory, Methuen Monographs, London, 1934.
G. Spencer Brown, Laws of form, The Julian Press, Inc., New York, 1972. MR 0416823
- 1.
- J. M. Jauch, Foundations of quantum mechanics, Addison-Wesley, Reading, Mass., 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.
- G. Mackey, Induced representations of groups and quantum mechanics, Benjamin, New York, Boringhieri, Torino, 1968. MR 507212
- 6.
- G. Mackey, The theory of unitary group representations, Univ. of Chicago Press, Chicago, Ill., 1976. MR 396826
- 7.
- A. Barut and R. Raczka, Theory of group representations and applications, Polish Sci. Publishers, Warsaw, 1977. MR 495836
- 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.
- J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer-Verlag, Berlin, 1932. MR 223138
- 11.
- B. d'Espagnat, Conceptual foundations of quantum mechanics, Benjamin, Menlo Park, Calif., 1971. MR 522284
- 12.
- G. Temple, The general principles of quantum theory, Methuen Monographs, London, 1934.
- 13.
- G. Spencer Brown, Laws of form, Julian Press, New York, 1972. MR 416823
Review Information:
Reviewer:
Karl Gustafson
Journal:
Bull. Amer. Math. Soc.
2 (1980), 225-229
DOI:
https://doi.org/10.1090/S0273-0979-1980-14731-X
