×

zbMATH — the first resource for mathematics

Wave operators for long-range scattering. (English) Zbl 0359.47006

MSC:
47A40 Scattering theory of linear operators
35P25 Scattering theory for PDEs
PDF BibTeX Cite
Full Text: DOI
References:
[1] Alsholm, P, Wave operators for long-range scattering, () · Zbl 0263.47008
[2] Alsholm, P; Kato, T, Scattering with long-range potentials, (), 393-399 · Zbl 0263.47008
[3] Amrein, W; Martin, Ph.A; Misra, B, On the asymptotic condition of scattering theory, Helv. phys. acta, 43, 313-344, (1970) · Zbl 0195.56101
[4] Beckenbach, E.F; Bellman, R, Inequalities, (1971), Springer Berlin/Heidelberg/New York · Zbl 0206.06802
[5] Brownell, F.H, A note on Cook’s wave-matrix theorem, Pacific J. math., 12, 47-52, (1962) · Zbl 0103.44902
[6] 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]
[7] Cook, J.M, Convergence to the moller wave-matrix, J. math. phys., 36, 82-87, (1957)
[8] Dollard, J.D, Asymptotic convergence and the Coulomb interaction, J. math. phys., 5, 729-738, (1964)
[9] Dollard, J.D; Dollard, J.D, Errata, Rocky mt. J. math., Rocky mt. J. math., 2, 317-88, (1972), see also · Zbl 0267.35054
[10] Hack, M.N, On convergence to the Møller wave operators, Nuovo cimento, 13, 231-236, (1959) · Zbl 0086.42804
[11] Hörmander, L, The existence of wave operators in scattering theory, Math. Z., 146, 69-91, (1976) · Zbl 0319.35059
[12] Jauch, J.M; Zinnes, I.I, The asymptotic condition for simple scattering systems, Nuovo cimento, 11, 553-567, (1959)
[13] Kato, T, Perturbation theory for linear operators, (1966), Springer Heidelberg/New York · Zbl 0148.12601
[14] Kuroda, S.T, On the existence and the unitary property of the scattering operator, Nuovo cimento, 12, 431-454, (1959) · Zbl 0084.44801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.