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Book Review
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Book Information
Author(s):
D. R. Yafaev
Title:
Mathematical scattering theory: General theory
Additional book information:
Transl. Math. Monographs, vol. 105, Amer. Math. Soc.,
Providence, RI,
1992,
x + 341,
$216.00,
0-8218-4558-6
References:
- [AJS]
- W. O. Amrein, J. M. Jauch, and K. B. Sinha, Scattering Theory in Quantum Mechanics, Benjamin, New York, 1977. MR 58:14631
- [BW]
- H. Baumgärtel and M. Wollenberg, Mathematical Scattering Theory, Akademie-Verlag, Berlin, 1983. MR 86c:47006a
- [BY]
- M. Sh. Birman and D. R. Yafaev, A general scheme in stationary scattering theory, Problemy Mat. Fiz., 12(1987), 89--117. MR 89b:47016
- [BY2]
- ------, The spectral shift function. The papers of M. G. Krein and their further development, Algebra i Analiz 4(1992), 1--44 (Russian); English translation in St. Petersburg Math. J. 4(1993), 833--870. MR 94g:47002
- [E]
- V. Enss, Asymptotic completeness for quantum mechanical potential scattering, I. Short range potentials, Comm. Math. Phys. 61(1978), 285--291. MR 58:25583
- [K]
- T. Kato, Perturbation Theory for Linear Operators, Springer Verlag, 1966, 1976. MR 34:3324, 53:11389
- [KK]
- T. Kato and S. T. Kuroda, Theory of simple scattering and eigenfunction expansions, F. E. Browder ed., Functional Analysis and Related Fields, Springer, 1970, 99--131. MR 52:6464a
- [LP]
- P. D. Lax and R. S. Phillips, Scattering Theory, Academic Press, 1967. MR 36:530
- [M]
- E. Mourre, Absence of singular continuous spectrum for certain self-adjoint operators, Comm. Math, Phys. 91(1979), 91--94. MR 82c:47030
- [P]
- D. B. Pearson, Quantum Scattering and Spectral Theory, Academic Press, 1988. MR 91k:81198
- [RS]
- M. Reed and B. S. Simon, Methods of Modern Mathematical Physics, Academic Press: vol. I Functional Analysis, 1972; vol. II Fourier Analysis, Self-adjointness, 1975; vol. III Scattering Theory, 1979; vol. IV Analysis of Operators, 1978. MR 58:12429a, 58:12429b, 80m:81085, 58:12429c
- [SY]
- A. V. Sobolev and D. R. Yafaev, Spectral properties of the abstract scattering matrix, Trudy Mat. Inst. Steklov 188(1990), 125--149; English translation, Proc. Steklov Inst. Math. 1991, no.3, 159--189.
Additional Information:
Reviewer(s):
S.
T.
Kuroda
Affiliation:
Gakushuin University
Email:
kuroda@math.gakushuin.ac.jp
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
467-472.
MSC
(1991):
Primary 47A40, 47A55;
Secondary 35P25, 81Uxx
DOI:
10.1090/S0273-0979-96-00679-9
PII:
S 0273-0979(96)00679-9
Copyright of article:
Copyright
1996,
American Mathematical Society
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