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The quasi-classical limit of quantum scattering theory II, Long-range scattering
Kenji Yajima
Source: Duke Math. J. Volume 48, Number 1 (1981), 1-22.
First Page PDF: View first page of article (PDF, 80 KB)Primary Subjects: 81F15
Secondary Subjects: 35P25, 58G15, 58G25
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314480
Mathematical Reviews number (MathSciNet):
MR610172
Zentralblatt MATH identifier:
0454.35069
Digital Object Identifier: doi:10.1215/S0012-7094-81-04801-8
References
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Mathematical Reviews (MathSciNet):
MR52:6215
Zentralblatt MATH:
0263.47008
[2] K. Asada and D. Fujiwara, On some oscillatory integral transformations in $L\sp{2}({\bf R}\sp{n})$, Japan. J. Math. (N.S.) 4 (1978), no. 2, 299–361.
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MR80d:47076
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0402.44008
[3] V. S. Buslaev and V. B. Matveev, Wave operators for the Schrödinger equation with slowly decreasing potential, Theor. Math. Phys. 2 (1970), 266–274.
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MR81i:35145
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0418.35032
[6] I. W. Herbst, Classical scattering with long range forces, Comm. Math. Phys. 35 (1974), 193–214.
Mathematical Reviews (MathSciNet):
MR50:3815
Zentralblatt MATH:
0309.70011
Digital Object Identifier: doi:10.1007/BF01646193
Project Euclid: euclid.cmp/1103859591
[7] L. Hörmander, The existence of wave operators in scattering theory, Math. Z. 146 (1976), no. 1, 69–91.
Mathematical Reviews (MathSciNet):
MR52:14691
Zentralblatt MATH:
0319.35059
Digital Object Identifier: doi:10.1007/BF01213717
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Mathematical Reviews (MathSciNet):
MR566076
Digital Object Identifier: doi:10.2977/prims/1195187871
Project Euclid: euclid.prims/1195187871
[10]1 H. Kitada, Scattering theory for Schrödinger operators with long-range potentials. I. Abstract theory, J. Math. Soc. Japan 29 (1977), no. 4, 665–691.
Mathematical Reviews (MathSciNet):
MR58:30372a
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0356.47006
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MR58:30372b
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0388.35055
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MR29:634
[13] M. Morse, Analysis in Large, Lecture Notes, Inst. Adv. Study, Princeton, N.J., 1937.
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[15] J. T. Schwartz, Nonlinear functional analysis, Gordon and Breach Science Publishers, New York, 1969.
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[16] K. Yajima, The quasiclassical limit of quantum scattering theory, Comm. Math. Phys. 69 (1979), no. 2, 101–129.
Mathematical Reviews (MathSciNet):
MR80m:81082
Zentralblatt MATH:
0425.35076
Digital Object Identifier: doi:10.1007/BF01221443
Project Euclid: euclid.cmp/1103905447
[17] S. Agmon, Some new results in spectral and scattering theory of differential operators on ${\bf R}\sp{n}$, Séminaire Goulaouic-Schwartz (1978/1979), École Polytech., Palaiseau, 1979, Exp. No. 2, 11.
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MR81j:35091
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[18] V. Enss, Asymptotic completeness for quantum-mechanical potential scattering. II. Singular and long-range potentials, Ann. Physics 119 (1979), no. 1, 117–132.
Mathematical Reviews (MathSciNet):
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0408.47009
Digital Object Identifier: doi:10.1016/0003-4916(79)90252-5
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