A tauberian theorem in quantum mechanical inverse scattering theory
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O. Brander, K. Chadan (1980)
Annales de l'I.H.P. Physique théorique
Nurulla Azamov (2011)
Reinhard Werner (1987)
Annales de l'I.H.P. Physique théorique
V.G. Kac, I.B. Frenkel (1980/1981)
Inventiones mathematicae
Baoxiang Wang, Lijia Han, Chunyan Huang (2009)
Annales de l'I.H.P. Analyse non linéaire
Jean Ginibre, Giorgio Velo (1999)
Journées équations aux dérivées partielles
We study the theory of scattering for the Hartree equation with long range potentials. We prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.
Jean Ginibre, Giorgio Velo (1980)
Mathematische Zeitschrift
Michael Demuth (1982)
Banach Center Publications
Yannick Gâtel, Dimitri Yafaev (1999)
Annales de l'institut Fourier
We consider the homogeneous Schrödinger equation with a long-range potential and show that its solutions satisfying some a priori bound at infinity can asymptotically be expressed as a sum of incoming and outgoing distorted spherical waves. Coefficients of these waves are related by the scattering matrix. This generalizes a similar result obtained earlier in the short-range case.
Thierry Daudé (2004)
Annales de l’institut Fourier
In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.
Antoniou, I., Karpov, E., Prigogine, I., Pronko, G. (2004)
Discrete Dynamics in Nature and Society
D. R. Yafaev (1984)
Annales de l'I.H.P. Physique théorique
Venkatesulu, M., Baruah, Pallav Kumar (1996)
Journal of Applied Mathematics and Stochastic Analysis
E. B. Davies (1978)
Annales de l'I.H.P. Physique théorique
Д.Р. Яфаев
Zapiski naucnych seminarov Leningradskogo
П.П. Кулиш, В.Д. Липовский, А.В. Широков (1989)
Zapiski naucnych seminarov Leningradskogo
П.П. Кулиш (1982)
Zapiski naucnych seminarov Leningradskogo
Е.К. Склянин (1987)
Zapiski naucnych seminarov Leningradskogo
Д.Р. Яфаев (1984)
Zapiski naucnych seminarov Leningradskogo
А.Н. Кириллов, Н.Ю. Решетихин (1985)
Zapiski naucnych seminarov Leningradskogo
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