×

zbMATH — the first resource for mathematics

Propagation of states in dilation analytic potentials and asymptotic completeness. (English) Zbl 0471.47007

MSC:
47A40 Scattering theory of linear operators
35P25 Scattering theory for PDEs
PDF BibTeX Cite
Full Text: DOI
References:
[1] Agmon, S.: Some new results in spectral and scattering theory of differential operators onL 2 (? n ). Séminaire Goulaouic-Schwartz 1978-9, Centre de Mathématiques-Polytechnique, Palaiseau.
[2] Aguilar, J., Combes, J. M.: Commun. Math. Phys.22 269-279 (1971) · Zbl 0219.47011
[3] Alsholm, P., Kato, T.: Scattering with long-range potentials. In: Partial differential equations, pp. 393-399. Proc. Symp. Pure Math., No. 23. Providence, R. I.: Am. Math. Soc. 1973 · Zbl 0263.47008
[4] Babbit, D., Balslev, E.: J. Func. Anal.18 1-14 (1975) · Zbl 0304.47009
[5] Buslaev, V. S., Matveev, V. B.: Theoret. and Math. Phys.2 266-274 (1970)
[6] Dollard, J. D.: J. Math. Phys.5 729-738 (1964)
[7] Enss, V.: Commun. Math. Phys.61 285-291 (1978) · Zbl 0389.47005
[8] Enss, V.: Ann. Phys. (N.Y.)119 117-132 (1979) · Zbl 0408.47009
[9] Enss, V.: Paper in preparation and ?Geometric methods in spectral and scattering theory of Schrödinger operators?, Sect. 7. In: Rigorous atomic and molecular physics, eds. G. Velo, A. Wightman. New York: Plenum Press 1981
[10] Faris, W.: Self-adjoint operators. Lecture notes in mathematics, Vol. 433. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0317.47016
[11] Hirschman, I. I., Widder, D. V.: The convolution transform. Princeton University Press 1955 · Zbl 0065.09301
[12] Hörmander, L.: Math. Z.146 69-91 (1976) · Zbl 0319.35059
[13] Hunziker, W.: J. Math. Phys.7 300-304 (1966) · Zbl 0151.43801
[14] Ikebe, T.: J. Func. Anal.20 158-177 (1975) · Zbl 0315.35067
[15] Ikebe, T.: Publ. RIMS Kyoto Univ.11 551-558 (1976) · Zbl 0345.35032
[16] Ikebe, T., Isozaki, H.: Publ. RIMS Kyoto Univ.15 679-718 (1979) · Zbl 0432.35061
[17] Ikebe, T., Isozaki, H.: Preprint, Kyoto University, 1980
[18] Isozaki, H.: Publ. RIMS Kyoto Univ.13 589-626 (1977) · Zbl 0435.47011
[19] Jensen, A.: Manuscripta Math.25 61-77 (1978) · Zbl 0397.35056
[20] Jensen, A.: Duke Math. J.47 57-80 (1980) · Zbl 0437.47009
[21] Jensen, A., Kato, T.: Duke Math. J.46 583-611 (1979) · Zbl 0448.35080
[22] Kitada, H.: Proc. Jpn. Acad. Sci.52 409-412 (1976) · Zbl 0358.35024
[23] Kitada, H.: J. Math. Soc. Jpn.29 665-691 (1977) · Zbl 0356.47006
[24] Kitada, H.: J. Math. Soc. Jpn.30 603-632 (1978) · Zbl 0388.35055
[25] Morgan, J., Simon, B.: To be published
[26] Mourre, E.: Comm. Math. Phys.68 91-94 (1979) · Zbl 0429.47006
[27] Perry, P. A.: Duke Math. J.47 187-193 (1980) · Zbl 0445.47009
[28] Reed, M., Simon, B.: Methods of modern mathematical physics. I. Functional analysis. New York: Academic Press 1972 · Zbl 0242.46001
[29] Reed, M., Simon, B.: Methods of modern mathematical physics. III. Scattering theory. New York: Academic Press 1979 · Zbl 0405.47007
[30] Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press 1978 · Zbl 0401.47001
[31] Sait?, Y.: Osaka J. Math.14 37-53 (1977)
[32] Sait?, Y.: Spectral representations for Schrödinger operators with long-range potentials. In: Lecture notes in mathematics, Vol. 727. Berlin, Heidelberg, New York: Springer 1979
[33] Simon, B.: Duke Math. J.46 119-168 (1979) · Zbl 0402.35076
[34] Strichartz, R.: J. Math. Mech.16 1031-1060 (1967)
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.