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Book Review
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Book Information
Author(s):
W. O. Amrein
Title:
Non-relativistic quantum dynamics
Additional book information:
Mathematical Physics Studies, vol. 2, Reidel, Dordrecht, Holland; Boston, U. S. A.; London, England, 1981, viii + 237 pp., paper Dfl. 70.00/US $34.50. ISBN 9-0277-1324-3
References:
- 1.
- W. O. Amrien, J. M. Jauch and K. S. Sinha, Scattering theory in quantum mechanics, Benjamin, Reading, Mass., 1977. MR 495999
- 2.
- V. Enss, Asymptotic completeness for quantum mechanical potential scattering. I. Short range potentials, Comm. Math. Phys. 61 (1978), 285-291. MR 523013
- 3.
- V. Enss, Asymptotic completeness for quantum mechanical potential scattering. II. Singular and long range potentials, Ann. Phys. 119 (1979), 117-132. MR 535624
- 4.
- V. Enss, Geometric methods in spectral and scattering theory of Schrödinger operators, Rigorous Atomic and Molecular Physics (G. Velo and A. Wightman (eds.)), Plenum, New York, 1981.
- 5.
- B. Simon, Phase space analysis of simple scattering systems: extensions of some work of Enss, Duke Math. J. 46 (1979), 119-168. MR 523604
- 6.
- E. Mourre, Link between the geometrical and the spectral transformation approaches in scattering theory, Comm. Math. Phys. 68 (1979), 91-94. MR 539739
- 7.
- P. Perry, Mellin transforms and scattering theory. I. Short range potentials, Duke Math. J. 47 (1980), 187-193. MR 563375
- 8.
- D. Yafaev, On the proof of Enss of asymptotic completeness in potential scattering, Leningrad, 1979.
- 9.
- E. Davies, On Enss'approach to scattering theory, Duke Math. J. 47 (1980), 171-185. MR 563374
- 10.
- H. Kitada and K. Yajima, A scattering theory for time dependent long range potentials, Tokyo, 1981. MR 659945
- 11.
- P. Muthuramalingam and K. Sinha, Asymptotic completeness in long range scattering, New Delhi, 1981.
- 12.
- M. Reed and B. Simon, Methods of modern mathematical physics. I-IV, Academic Press, New York, 1972, 1975, 1979, 1978. MR 751959
- 13.
- R. Newton, Scattering theory of waves and particles, McGraw-Hill, New York, 1966. MR 221823
- 14.
- K. Gustafson and W. Reinhardt, Quantum mechanics in mathematics, chemistry, and physics, Plenum, New York, 1981.
- 15.
- K. Gustafson and G. Johnson, On the absolutely continuous subspace of a selfadjoint operator, Helv. Phys. Acta 47 (1974), 163-166. MR 355669
- 16.
- K. Gustafson, Fourier scattering subspaces, Physical Reality and Mathematical Description (C. Enz and J. Mehra (eds.)), Reidel, Dordrecht, 1974.
- 17.
- P. Lax and R. Phillips, Scattering theory, Academic Press, New York, 1967. MR 217440
- 18.
- A. Jensen, Time-delay in potential scattering theory, Comm. Math. Phys. 82 (1981), 435-456. MR 641772
- 19.
- V. Enss, Proceedings of the VIIth International Congress of Mathematical Physics, Boulder, Colorado, August 1-10, 1983.
Additional Information:
Reviewer(s):
Karl
Gustafson
Review Information:
Journal:
Bull. Amer. Math. Soc.
8
(1983),
477-481.
DOI:
10.1090/S0273-0979-1983-15127-3
PII:
S 0273-0979(1983)15127-3
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