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Literature Cited
J. D. Dollard, "Asymptotic convergence and Coulomb interaction," J. Math. Phys.,5, No. 6, 729–738 (1964).
J. M. Jauch, B. Misra, and A. G. Gibbon, "On the asymptotic condition of scattering theory," Helvetica Phys. Acta,41, No. 4, 513–527 (1968).
F. A. Berezin, "On a model in quantum field theory," Matem. Sb.,76, 3–25 (1968).
L. A. Sakhnovich, "Generalized wave operators," Matem. Sb.,81, 209–227 (1970).
L. A. Sakhnovich, "Generalized wave operators and the regularization of series in perturbation theory," Teor. i Matem. Fizika,2, No. 1, 80–86 (1970).
V. S. Buslaev and V. B. Matveev, "Wave operators for the Schrödinger equation with a slowly decreasing potential," Teor. i Matem. Fizika,2, No. 3, 367–376 (1970).
M. Sh. Birman and M. G. Krein, "On the theory of wave operators and scattering operators," Dokl. Akad. Nauk SSSR, 144, No. 3, 475–478 (1962).
M. Sh. Birman, "On conditions for the existence of wave operators," Izv. Akad. Nauk SSSR, Ser. Matem.,27, 883–906 (1963).
T. Kato, "Wave operators and unitary equivalence," Pacific J. Math.,15, No. 1, 171–180 (1965).
E. K. Titchmarsh, The Theory of the Riemann Zeta Function [Russian translation], IL, Moscow (1953).
H. Bethe and E. Solpiter, Quantum Mechanics of Atoms with One and Two Electrons [Russian translation) Fizmatgiz, Moscow (1960).
Additional information
The Odessa Electrotechnical Communications Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 5, No. 1, pp. 61–68, January–March, 1971.
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Sakhnovich, L.A. The invariance principle for generalized wave operators. Funct Anal Its Appl 5, 49–55 (1971). https://doi.org/10.1007/BF01075847
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DOI: https://doi.org/10.1007/BF01075847