Book Review
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MathSciNet review:
1567466
Full text of review:
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Book Information:
Author:
A. M. Berthier
Title:
Spectral theory and wave operators for the Schrödinger equation
Additional book information:
Research Notes in Mathematics, Vol. 71, Pitman Advanced Publishing Program, Boston, London, and Melbourne, 1982, 306 pp., $24.95. ISBN 0-2730-8562-X.
John von Neumann, Mathematical foundations of quantum mechanics, Princeton University Press, Princeton, N.J., 1955. Translated by Robert T. Beyer. MR 0066944
P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford, at the Clarendon Press, 1947. 3d ed. MR 0023198
Werner O. Amrein, Josef M. Jauch, and Kalyan B. Sinha, Scattering theory in quantum mechanics, Lecture Notes and Supplements in Physics, No. 16, W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1977. Physical principles and mathematical methods. MR 0495999
4. W. O. Amrein, Non-relativistic quantum dynamics, Math. Physics Stud., Vol. 2, Reidel, Dordrecht, Holland, 1981.
Barry Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton Series in Physics, Princeton University Press, Princeton, N. J., 1971. MR 0455975
Barry Simon, Functional integration and quantum physics, Pure and Applied Mathematics, vol. 86, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1979. MR 544188
James Glimm and Arthur Jaffe, Quantum physics, Springer-Verlag, New York-Berlin, 1981. A functional integral point of view. MR 628000
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
- 1.
- J. von Neumann, Mathematical foundations of quantum mechanics, Princeton Univ. Press, Princeton, N. J., 1955. MR 0066944
- 2.
- P. A. M. Dirac, The principles of quantum mechanics, 4th ed., Oxford Univ. Press, Oxford, 1958. MR 23198
- 3.
- W. O. Amrein, J. M. Jauch and K. S. Sinha, Scattering theory in quantum mechanics, Benjamin, Reading, Mass., 1977. MR 495999
- 4.
- W. O. Amrein, Non-relativistic quantum dynamics, Math. Physics Stud., Vol. 2, Reidel, Dordrecht, Holland, 1981.
- 5.
- B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton Univ. Press, Princeton, N. J., 1971. MR 455975
- 6.
- B. Simon, Functional integration and quantum physics, Academic Press, New York, 1979. MR 544188
- 7.
- J. Glimm and A. Jaffe, Quantum physics, Springer-Verlag, New York, 1981. MR 628000
- 8.
- M. Reed and B. Simon, Methods of modern mathematical physics, Vols. I-IV, Academic Press, New York, 1972-1978. MR 751959
Review Information:
Reviewer:
Lawrence E. Thomas
Journal:
Bull. Amer. Math. Soc.
9 (1983), 372-375
DOI:
https://doi.org/10.1090/S0273-0979-1983-15216-3