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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
Book Information:

Author: 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 [Enhancements On Off] (What's this?)

  • 1. Werner O. Amrein, Josef M. Jauch, and Kalyan B. Sinha, Scattering theory in quantum mechanics, W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1977. Physical principles and mathematical methods; Lecture Notes and Supplements in Physics, No. 16. MR 0495999
  • 2. Volker Enss, Asymptotic completeness for quantum mechanical potential scattering. I. Short range potentials, Comm. Math. Phys. 61 (1978), no. 3, 285–291. MR 0523013
  • 3. Volker Enss, Asymptotic completeness for quantum-mechanical potential scattering. II. Singular and long-range potentials, Ann. Physics 119 (1979), no. 1, 117–132. MR 535624, 10.1016/0003-4916(79)90252-5
  • 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. Barry Simon, Phase space analysis of simple scattering systems: extensions of some work of Enss, Duke Math. J. 46 (1979), no. 1, 119–168. MR 523604
  • 6. Eric Mourre, Link between the geometrical and the spectral transformation approaches in scattering theory, Comm. Math. Phys. 68 (1979), no. 1, 91–94. MR 539739
  • 7. Peter A. Perry, Mellin transforms and scattering theory. I. Short range potentials, Duke Math. J. 47 (1980), no. 1, 187–193. MR 563375
  • 8. D. Yafaev, On the proof of Enss of asymptotic completeness in potential scattering, Leningrad, 1979.
  • 9. E. B. Davies, On Enss’ approach to scattering theory, Duke Math. J. 47 (1980), no. 1, 171–185. MR 563374
  • 10. Hitoshi Kitada and Kenji Yajima, A scattering theory for time-dependent long-range potentials, Duke Math. J. 49 (1982), no. 2, 341–376. MR 659945
  • 11. P. Muthuramalingam and K. Sinha, Asymptotic completeness in long range scattering, New Delhi, 1981.
  • 12. 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
  • 13. Roger G. Newton, Scattering theory of waves and particles, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0221823
  • 14. K. Gustafson and W. Reinhardt, Quantum mechanics in mathematics, chemistry, and physics, Plenum, New York, 1981.
  • 15. Karl Gustafson and Guy Johnson, On the absolutely continuous subspace of a self-adjoint operator, Helv. Phys. Acta 47 (1974), 163–166. MR 0355669
  • 16. K. Gustafson, Fourier scattering subspaces, Physical Reality and Mathematical Description (C. Enz and J. Mehra (eds.)), Reidel, Dordrecht, 1974.
  • 17. Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
  • 18. Arne Jensen, Time-delay in potential scattering theory. Some “geometric” results, Comm. Math. Phys. 82 (1981/82), no. 3, 435–456. MR 641772
  • 19. V. Enss, Proceedings of the VIIth International Congress of Mathematical Physics, Boulder, Colorado, August 1-10, 1983.

Review Information:

Reviewer: Karl Gustafson
Journal: Bull. Amer. Math. Soc. 8 (1983), 477-481