Book Review
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MathSciNet review:
1568180
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Book Information:
Author:
Pavel Exner Ji\v r\'\i \ Blank, and Miloslav Havl\'\i \v cek
Title:
Hilbert space operators in quantum physics
Additional book information:
American Institute of Physics Translation Series in Computational \& Applied Mathematical Physics, American Institute Physics, New York, 1994, xiii+593 pp., US$75.00. ISBN 1-56396-142-3.
[1] S. Weinberg, Dreams of a final theory, Pantheon, New York, 1992.
[2] W. O. Amrein, Non-relativistic quantum dynamics, Reidel, Dordrecht, 1981.
[3] H. Baumgärtel and M. Wollenberg, Mathematical scattering theory, Birkhäuser, Basel, 1983.
[4] F. A. Berezin and M. A. Shubin, The Schrödinger equation, Kluwer, Dordrecht, 1991.
H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schrödinger operators with application to quantum mechanics and global geometry, Springer Study Edition, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1987. MR 883643
E. B. Davies, Quantum theory of open systems, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1976. MR 0489429
D. B. Pearson, Quantum scattering and spectral theory, Techniques of Physics, vol. 9, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1988. MR 1099604
Peter A. Perry, Scattering theory by the Enss method, Mathematical Reports, vol. 1, Harwood Academic Publishers, Chur, 1983. Edited by B. Simon. MR 752694
Eduard Prugovečki, Quantum mechanics in Hilbert space, 2nd ed., Pure and Applied Mathematics, vol. 92, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 630533
Michael Reed and Barry Simon, Methods of modern mathematical physics. I, 2nd ed., Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1980. Functional analysis. MR 751959
Martin Schechter, Operator methods in quantum mechanics, North-Holland Publishing Co., New York-Amsterdam, 1981. MR 597895
Walter Thirring, Lehrbuch der mathematischen Physik. 4, Springer-Verlag, Vienna, 1980 (German). Quantenmechanik grosser Systeme. [Quantum mechanics of large systems]. MR 587314
James Glimm and Arthur Jaffe, Quantum physics, Springer-Verlag, New York-Berlin, 1981. A functional integral point of view. MR 628000
Barry Simon, The $P(\phi )_{2}$ Euclidean (quantum) field theory, Princeton Series in Physics, Princeton University Press, Princeton, N.J., 1974. MR 0489552
Roberto Fernández, Jürg Fröhlich, and Alan D. Sokal, Random walks, critical phenomena, and triviality in quantum field theory, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1992. MR 1219313, DOI 10.1007/978-3-662-02866-7
Vincent Rivasseau, From perturbative to constructive renormalization, Princeton Series in Physics, Princeton University Press, Princeton, NJ, 1991. MR 1174294, DOI 10.1515/9781400862085
Peter R. Holland, The quantum theory of motion, Cambridge University Press, Cambridge, 1995. An account of the de Broglie-Bohm causal interpretation of quantum mechanics. MR 1341368
D. Bohm and B. J. Hiley, The undivided universe, Routledge, London, 1995. An ontological interpretation of quantum theory. MR 1326828
Edward Nelson, Dynamical theories of Brownian motion, Princeton University Press, Princeton, N.J., 1967. MR 0214150
[20] -, Quantum fluctuations, Princeton Univ. Press, Princeton, NJ, 1985.
J. S. Bell, Speakable and unspeakable in quantum mechanics, Cambridge University Press, Cambridge, 1987. Collected papers on quantum philosophy. MR 915338
Roland Omnès, The interpretation of quantum mechanics, Princeton Series in Physics, Princeton University Press, Princeton, NJ, 1994. Princeton Paperbacks. MR 1291602
- [1]
- S. Weinberg, Dreams of a final theory, Pantheon, New York, 1992.
- [2]
- W. O. Amrein, Non-relativistic quantum dynamics, Reidel, Dordrecht, 1981.
- [3]
- H. Baumgärtel and M. Wollenberg, Mathematical scattering theory, Birkhäuser, Basel, 1983.
- [4]
- F. A. Berezin and M. A. Shubin, The Schrödinger equation, Kluwer, Dordrecht, 1991.
- [5]
- H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schrödinger operators, Springer-Verlag, Berlin, 1987. MR 883643 (88g:35003)
- [6]
- E. B. Davies, Quantum theory of open systems, Academic Press, London and New York, 1976. MR 0489429 (58:8853)
- [7]
- D. B. Pearson, Quantum scattering and spectral theory, Academic Press, London and New York, 1988. MR 1099604 (91k:81198)
- [8]
- P. A. Perry, Scattering theory by the Enss method, Harwood, London, 1983. MR 752694 (85k:35181)
- [9]
- E. Prugovečki, Quantum mechanics in Hilbert space, Academic Press, London and New York, 1981. MR 630533 (84k:81005)
- [10]
- M. Reed and B. Simon, Methods of modern mathematical physics. I, II, III, IV, Academic Press, New York, 1972, 1975, 1979, 1978. MR 751959 (85e:46002)
- [11]
- M. Schechter, Operator methods in quantum mechanics, North-Holland, New York, 1981. MR 597895 (83b:81004)
- [12]
- W. Thirring, A course in mathematical physics 3: Quantum mechanics of atoms and molecules, Springer-Verlag, Wien, 1979. MR 587314 (84m:82004a)
- [13]
- J. Glimm and A. Jaffe, Quantum physics: A functional integral point of view, Springer-Verlag, New York and Berlin, 1981. MR 628000 (83c:81001)
- [14]
- B. Simon, The
Euclidean (quantum) field theory, Princeton Univ. Press, Princeton, NJ, 1974. MR 0489552 (58:8968)
- [15]
- R. Fernandez, J. Fröhlich, and A. D. Sokal, Random walks, critical phenomena, and triviality in quantum field theory, Springer-Verlag, Berlin, 1992. MR 1219313 (94j:81140)
- [16]
- V. Rivasseau, From perturbative to constructive renormalization, Princeton Univ. Press, Princeton, NJ, 1991. MR 1174294 (93i:81004)
- [17]
- P. R. Holland, The quantum theory of motion: An account of the de Broglie-Bohm causal interpretation of quantum mechanics, Cambridge Univ. Press, Cambridge, 1993. MR 1341368 (97e:81001)
- [18]
- D. Bohm and B. J. Hiley, The undivided universe: An ontological interpretation of quantum theory, Routledge, London, 1993. MR 1326828 (96i:81008)
- [19]
- E. Nelson, Dynamical theories of Brownian motion, Princeton Univ. Press, Princeton, NJ, 1985. MR 0214150 (35:5001)
- [20]
- -, Quantum fluctuations, Princeton Univ. Press, Princeton, NJ, 1985.
- [21]
- J. S. Bell, Speakable and unspeakable in quantum mechanics, Cambridge Univ. Press, Cambridge, 1987. MR 915338 (89k:81005)
- [22]
- R. Omnes, The interpretation of quantum mechanics, Princeton Univ. Press, Princeton, NJ, 1994. MR 1291602 (95m:81007)
Review Information:
Reviewer:
William G. Faris
Journal:
Bull. Amer. Math. Soc.
32 (1995), 339-344
DOI:
https://doi.org/10.1090/S0273-0979-1995-00590-2
