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Book Review
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Book Information
Author(s):
Ji\v r\'\i Blank, Pavel Exner, 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
References:
- [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. Baumg\"artel and M. Wollenberg, Mathematical scattering theory, Birkh\"auser, Basel, 1983.
- [4]
- F. A. Berezin and M. A. Shubin, The Schr\"odinger equation, Kluwer, Dordrecht, 1991.
- [5]
- H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schr\"odinger operators, Springer-Verlag, Berlin, 1987.
- [6]
- E. B. Davies, Quantum theory of open systems, Academic Press, London and New York, 1976.
- [7]
- D. B. Pearson, Quantum scattering and spectral theory, Academic Press, London and New York, 1988.
- [8]
- P. A. Perry, Scattering theory by the Enss method, Harwood, London, 1983.
- [9]
- E. Prugove\v cki, Quantum mechanics in Hilbert space, Academic Press, London and New York, 1981.
- [10]
- M. Reed and B. Simon, Methods of modern mathematical physics. {\rm I, II, III, IV}, Academic Press, New York, 1972, 1975, 1979, 1978.
- [11]
- M. Schechter, Operator methods in quantum mechanics, North-Holland, New York, 1981.
- [12]
- W. Thirring, A course in mathematical physics {\rm 3:} Quantum mechanics of atoms and molecules, Springer-Verlag, Wien, 1979.
- [13]
- J. Glimm and A. Jaffe, Quantum physics\,{\rm :} A functional integral point of view, Springer-Verlag, New York and Berlin, 1981.
- [14]
- B. Simon, The $P(\phi )_2$ Euclidean {\rm (}quantum{\rm )} field theory, Princeton Univ. Press, Princeton, NJ, 1974.
- [15]
- R. Fernandez, J. Fr\"ohlich, and A. D. Sokal, Random walks, critical phenomena, and triviality in quantum field theory, Springer-Verlag, Berlin, 1992.
- [16]
- V. Rivasseau, From perturbative to constructive renormalization, Princeton Univ. Press, Princeton, NJ, 1991.
- [17]
- P. R. Holland, The quantum theory of motion{\rm :} An account of the de Broglie-Bohm causal interpretation of quantum mechanics, Cambridge Univ. Press, Cambridge, 1993.
- [18]
- D. Bohm and B. J. Hiley, The undivided universe\,{\rm :} An ontological interpretation of quantum theory, Routledge, London, 1993.
- [19]
- E. Nelson, Dynamical theories of Brownian motion, Princeton Univ. Press, Princeton, NJ, 1985.
- [20]
- E. Nelson, Quantum fluctuations, Princeton Univ. Press, Princeton, NJ, 1985.
- [21]
- J. S. Bell, Speakable and unspeakable in quantum mechanics, Cambridge Univ. Press, Cambridge, 1987.
- [22]
- R. Omnes, The interpretation of quantum mechanics, Princeton Univ. Press, Princeton, NJ, 1994.
Additional Information:
Reviewer(s):
William G.
Faris
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
339-344.
DOI:
10.1090/S0273-0979-1995-00590-2
PII:
S 0273-0979(1995)00590-2
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