Bulletin of the American Mathematical Society

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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.

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

Volker Enss, Asymptotic completeness for quantum mechanical potential scattering. I. Short range potentials, Comm. Math. Phys. 61 (1978), no. 3, 285–291. MR 523013

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, DOI 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.

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

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

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.

E. B. Davies, On Enss’ approach to scattering theory, Duke Math. J. 47 (1980), no. 1, 171–185. MR 563374

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.

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

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.

Karl Gustafson and Guy Johnson, On the absolutely continuous subspace of a self-adjoint 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.

Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440

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.

1.

W. O. Amrien, J. M. Jauch and K. S. Sinha, Scattering theory in quantum mechanics, Benjamin, Reading, Mass., 1977. MR 0495999

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.