@article{AIHPA_1997__67_4_339_0,
author = {Zielinski, Lech},
title = {Scattering for a dispersive charge transfer model},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {339--386},
year = {1997},
publisher = {Gauthier-Villars},
volume = {67},
number = {4},
mrnumber = {1632232},
zbl = {0887.35110},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1997__67_4_339_0/}
}
Zielinski, Lech. Scattering for a dispersive charge transfer model. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) no. 4, pp. 339-386. https://www.numdam.org/item/AIHPA_1997__67_4_339_0/
[1] , and , C0-groups, commutator methods and spectral theory of N-body hamiltonians, Birkhäuser 1996. | Zbl | MR
[2] , Spectral analysis for simply characteristic operators by Mourre's method, Operator theory: advances and applications, Vol. 43, 1990, pp. 89-99, Birkhäuser, Verlag Basel. | Zbl | MR
[3] , , Spectral theory and scattering theory by the conjugate operator method, Algebra and Analysis, Vol. 4, No. 3, 1991, pp. 73-116. | Zbl | MR
[4] , The Mourre estimate for dispersive N-body Schrödinger operators, Trans. Amer. Math. Soc., Vol. 317, 1990, pp. 773-798. | Zbl | MR
[5] , Asymptotic completeness for long range quantum systems, Ann. of Math., Vol.. 138, 1993, pp. 427-476. | Zbl | MR
[6] and , Asymptotic completeness of N-particle systems, Springer-Verlag, 1996.
[7] , Asymptotic completeness for quantum mechanical potential scattering I, Short range potentials, Comm. Math. Phys., Vol. 61, 1978, pp. 285-291. | Zbl | MR
[8] , Self-adjoint operators, Lect. Notes Math., Vol. 433, edited by A. DOLD and B. ECKMANN.
[9] , Mourre estimate for regular dispersive systems, Ann. Inst. H. Poincaré, Physique Théorique, 54/1, 1991, pp. 59-88. | Zbl | MR | Numdam
[10] , Phase space analysis of the charge transfer model, Helv. Phys. Acta, Vol. 63, 1990, pp. 107-138. | Zbl | MR
[11] , Asymptotic completeness for N-body short range systems, Comm. Math. Phys., Vol. 132, 1991, pp. 73-104. | Zbl | MR
[12] , Asymptotic completeness for the impact parameter approximation to the three particle Scattering, Ann. Inst. H. Poincaré, A36, 1982, pp. 19-40. | Zbl | MR | Numdam
[13] , The analysis of linear partial differential operators, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, Vol. 1, 2, 1983, Vol. 3, 4, 1985. | MR
[14] , A time dependent scattering theory for a class of simply characteristic operators with short range local potentials, J. London Math. Soc., Vol. 32, 2, 1985, pp. 259-264. | Zbl | MR
[15] and , The N-particle scattering problem: asymptotic completeness for the short-range quantum systems, Ann. of Math., Vol. 125, 1987, pp. 35-108. | Zbl | MR
[16] and , Asymptotic completeness of N-particle long-range scattering, J. Amer. Math. Soc., Vol. 7, 1994, pp. 307-334. | Zbl | MR
[17] , Asymptotische Vollständigkeit beim Charge-Transfer-Modell, Ph. D. Thesis, Berlin, 1988. | Zbl
[18] , A multi-channel scattering theory for some time dependent hamiltonians, Charge Transfer Problem, Comm. Math. Phys., Vol. 75, 1980, pp. 153-178. | Zbl | MR
[19] , Complétude asymptotique pour un modèle du transfert de charge, Ann. Inst. H. Poincaré, Physique Théorique, Vol. 58, 1993, pp. 363-411. | Zbl | MR | Numdam
[20] , A proof of asymptotic completeness for N-body Schrödinger operators, Comm. in P.D.E., Vol. 19, 3-4, 1994, pp. 455-522. | Zbl | MR
[21] , Wave operators of Deift-Simon type for a class of Schrödinger evolutions I, J. of Math. Phys., Geom. and Analysis, Vol. 3, 1996, pp. 169-213. | Zbl | MR





