journal article
Feb 01, 1976
The existence of wave operators in scattering theory
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References
13
[1]
Alsholm, P. K.: Wave operators for long-range scattering. Mimeographed manuscript
[2]
Alsholm, P. K., Kato, T.: Scattering with long range potentials. In: Partial Differential Equations. Proceedings of Symposia in pure Mathematics. Vol. 23 (Berkeley 1971), pp. 393?399. Providence: American Mathematical Society 1973
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Buslaev, V. S., Matveev, V. B.: Wave operators for the Schrödinger equation with a slowly decreasing potential. Theor. math. Phys.2, 266?274 (1970). (English translation from Russian)
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Cook, J. M.: Convergence to the Møller wave matrix. J. math. Phys.36, 82?87 (1957)
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Dollard, J. D.: Asymptotic convergence and the Coulomb interaction. J. math. Phys.5, 729?738 (1964)
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Dollard, J. D.: Quantum mechanical scattering theory for short-range and Coulomb interactions. Rocky Mountain J. Math.1, 5?88 (1971)
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Haak, M. N.: On convergence to the Møller wave operators. Nuovo Cimento, X Ser.13, 231?236 (1959)
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Hörmander, L.: Fourier integral operators I, Acta math.127, 79?183 (1971)
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Jauch, J. M., Zinnes, I. I.: The asymptotic condition for simple scattering systems. Nuovo Cimento, X. Ser.11, 553?567 (1959)
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[10]
Jörgens, K., Weidmann, J.: Zur Existenz der Wellenoperatoren. Math. Z.131, 141?151 (1973)
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[11]
Kuroda, S. T.: On the existence and the unitary property of the scattering operator. Nuovo Cimento, X. Ser.12, 431?454 (1959)
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[12]
Veselic, K., Weidmann, J.: Existenz der Wellenopertoren für eine allgemeine Klasse von Operatoren. Math. Z.134, 255?274 (1973)
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[13]
Veseli?, K., Weidmann, J.: Asymptotic estimates of wave functions and the existence of wave operators. J. Functional Analysis17, 61?77 (1974)
10.1016/0022-1236(74)90004-4
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Citations
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References
Details
- Published
- Feb 01, 1976
- Vol/Issue
- 146(1)
- Pages
- 69-91
- License
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Authors
Cite This Article
Lars H�rmander (1976). The existence of wave operators in scattering theory. Mathematische Zeitschrift, 146(1), 69-91. https://doi.org/10.1007/bf01213717
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