Book Review
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MathSciNet review:
1567347
Full text of review:
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Book Information:
Author:
Martin Schechter
Title:
Operator methods in quantum mechanics
Additional book information:
Elsevier North-Holland, New York, 1981, xx + 324 pp., $32.50.
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
2. B. d'Espagnat, The quantum theory and reality, Scientific American 241, no. 5 (1979), 158-181.
William G. Faris, Perturbations and non-normalizable eigenvectors, Helv. Phys. Acta 44 (1971), 930–936. MR 356751
William G. Faris, Inequalities and uncertainty principles, J. Mathematical Phys. 19 (1978), no. 2, 461–466. MR 484134, DOI 10.1063/1.523667
D. B. Pearson, An example in potential scattering illustrating the breakdown of asymptotic completeness, Comm. Math. Phys. 40 (1975), 125–146. MR 363285
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
Walter Thirring, Lehrbuch der mathematischen Physik. Band 3, Springer-Verlag, Vienna, 1979 (German). Quantenmechanik von Atomen und Molekülen. MR 537034
- 1.
- W. O. Amrein, J. M. Jauch and K. B. Sinha, Scattering theory in quantum mechanics, Benjamin, Reading, Mass., 1977. MR 0495999
- 2.
- B. d'Espagnat, The quantum theory and reality, Scientific American 241, no. 5 (1979), 158-181.
- 3.
- W. G. Faris, Perturbations and non-normalizable eigenvectors, Helv. Phys. Acta 44 (1971), 930-936. MR 356751
- 4.
- W. G. Faris, Inequalities and uncertainty principles, J. Math. Phys. 19 (1978), 461-466. MR 484134
- 5.
- D. B. Pearson, An example in potential scattering illustrating the breakdown of asymptotic completeness, Comm. Math. Phys. 40 (1975), 125-146. MR 363285
- 6.
- E. Prugovečki, Quantum mechanics in Hilbert space, 2nd ed., Academic Press, New York, 1981. MR 630533
- 7.
- M. Reed and B. Simon, Methods of modern mathematical physics, vols. 1-4, Academic Press, New York, 1972, 1975, 1979, 1978. MR 751959
- 8.
- W. Thirring, Lehrbuch der Mathematischen Physik, vol. 3, Quantenmechanik von Atomen und Molekülen, Springer-Verlag, Vienna and New York, 1979. MR 537034
Review Information:
Reviewer:
William G. Faris
Journal:
Bull. Amer. Math. Soc.
6 (1982), 105-109
DOI:
https://doi.org/10.1090/S0273-0979-1982-14978-3
