Long-range scattering of two- and three-body quantum systems
Journées équations aux dérivées partielles (1989)
- page 1-31
- ISSN: 0752-0360
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topEnss, Volker. "Long-range scattering of two- and three-body quantum systems." Journées équations aux dérivées partielles (1989): 1-31. <http://eudml.org/doc/93183>.
@article{Enss1989,
author = {Enss, Volker},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger operators; existence; completeness; Dollard wave operators},
language = {eng},
pages = {1-31},
publisher = {Ecole polytechnique},
title = {Long-range scattering of two- and three-body quantum systems},
url = {http://eudml.org/doc/93183},
year = {1989},
}
TY - JOUR
AU - Enss, Volker
TI - Long-range scattering of two- and three-body quantum systems
JO - Journées équations aux dérivées partielles
PY - 1989
PB - Ecole polytechnique
SP - 1
EP - 31
LA - eng
KW - Schrödinger operators; existence; completeness; Dollard wave operators
UR - http://eudml.org/doc/93183
ER -
References
top- [1] V. ENSS : Asymptotic observables on scattering states, Commun. Math. Phys. 89, 245 - 268 (1983). Zbl0543.47008MR84j:81110
- [2] V. ENSS : Quantum scattering theory for two- and three-body systems with potentials of short and long range, in : Schrödinger Operators, S. Graffi ed., Springer LN Math. 1159, Berlin 1985, pp. 39 - 176. Zbl0585.35023MR87c:81169
- [3] V. ENSS : Introduction to asymptotic observables for multiparticle quantum scattering, in : Schrödinger Operators, Aarhus 1985, E. Balslev ed., Springer LN Math. 1218, Berlin 1986, pp. 61 - 92 ; Separation of subsystems and clustered operators for multiparticle quantum systems, preprint Nr. A 213, Mathematik, Freie Universität Berlin, 1986 ; Observables and asymptotic phase space localization of N-body quantum scattering states, in preparation. Zbl0602.35088
- [4] V. ENSS : Two- and three-body quantum scattering : completeness revisited, in : Symposium “Patial Differential Equations” Holzhau 1988, B.-W. Schulze and H. Triebel eds., Teubner Texte zur Mathematik 112, Leipzig 1989, pp. 108 - 120. Zbl0699.35215
- [5] L. HÖRMANDER : The existence of wave operators in scattering theory, Math. Z. 146, 69 - 91 (1976). Zbl0319.35059MR52 #14691
- [6] H. ISOZAKI and H. KITADA : Modified wave operators with time-independent modifiers, J. Fac. Sci. Univ. Tokyo, Sect.IA 32, 77 - 104 (1985). Zbl0582.35036MR86j:35125
- [7] I.M. SIGAL and A. SOFFER : N-particle scattering problem : asymptotic completeness for short-range systems, Ann. Math. 126, 35 - 108 (1987). Zbl0646.47009MR88m:81137
- [8] U. WÜLLER : Asymptotische Vollständigkeit beim Charge-Transfer-Modell, Diss. FB Mathematik, Freie Univ. Berlin 1988 ; Geometric methods in scattering theory of the charge transfer model, preprint Univ. Virginia 1989. Zbl0669.35093
Citations in EuDML Documents
top- C. Gérard, Complétude asymptotique pour des systèmes à 3-corps à longue portée
- D. Yafaev, New channels in three-body long-range scattering
- François Nicoleau, Matrices de diffusion pour l'opérateur de Schrödinger avec champ magnétique et phénomène de Aharonov-Bohm
- François Nicoleau, Matrices de diffusion pour l'opérateur de Schrödinger en présence d'un champ magnétique. Phénomène de Aharonov-Bohm
- François Nicoleau, Didier Robert, Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique
- Tadayoshi Adachi, Asymptotic observables for N-body Stark hamiltonians
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