Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988)
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topGérard, C.. "Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée." Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988): 1-7. <http://eudml.org/doc/111950>.
@article{Gérard1987-1988,
author = {Gérard, C.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {summary; analyticity; S-matrix; two body scattering; two body potential; meromorphic continuation; Gevrey classes; analytic kernel; wave operators; eikonal phases; analytic distorsion},
language = {fre},
pages = {1-7},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée},
url = {http://eudml.org/doc/111950},
year = {1987-1988},
}
TY - JOUR
AU - Gérard, C.
TI - Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1987-1988
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 7
LA - fre
KW - summary; analyticity; S-matrix; two body scattering; two body potential; meromorphic continuation; Gevrey classes; analytic kernel; wave operators; eikonal phases; analytic distorsion
UR - http://eudml.org/doc/111950
ER -
References
top- [Ag-Co] J. Aguilar, J.M. Combes.A class of analytic perturbations for one-body Schrödinger hamiltonians, Comm. Math. Phys.22 (1971) p.269- 279. Zbl0219.47011MR345551
- [Ag-Kl] S. Agmon, M. Klein.Communication personnelle.
- [B1] E. Balslev.Analytic scattering theory for two-body Schrödinger operators, J. Functional Anal.29 (1978), 375-396. Zbl0392.47003MR512251
- [B2] E. Balslev.Local spectral déformation techniques for Schrôdinger operatorsJ. Functional Anal.58 (1984), 79-105. Zbl0556.35033MR756770
- [Ba-Co] E. Balslev, J.M. Combes.Spectral theory of many-body Schrôdinger operators with dilation-analytic interactions, Comm. Math. Phys.22 (1971) 280-294. Zbl0219.47005MR345552
- [Ca-Za] L. Cattabriga, L. Zanyhirati.Fourier intégral operators of infinite order on Gevrey spaces. Applications to the Cauchy problem for hyperbolic operators in Advances in Microlocal Analysis Série C. Vol. 168. Nato ASI Series. Zbl0601.35065
- [Cy] H.L. Cycon.Résonances defined by modified dilations, Helv. Phys. Acta58 (1985) p.969-981. MR821113
- [De] J. Derezinski.Existence and analyticity of many-body scattering amplitudes at low energies, J. Math. Phys.28 (1984) p.1080-1088. Zbl0636.35080MR887027
- [Ge-Ma1] C. Gérard, A. Martinez.Semiclassical asymptotics for the spectral function of long range Schrôdinger operators, soumis à J. Functional Anal. Zbl0692.35069
- [Ge-Ma2] C. Gérard, A. Martinez.Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. Manuscrit. Zbl0711.35097
- [He-Ma] B. Helffer, A. Martinez.Comparaison entre les diverses notions de résonances, à paraître dansHelv. Phys. Acta. MR929933
- [He-Sj] B. Helffer, J. Sjöstrand.Résonances en limite semiclassique, Bull. de la S.M.F. mémoire no24/25 114 (1986). Zbl0631.35075
- [Ho] L. Hörmander.The analysis of linear partial differential operators IVSpringer Verlag (1984). Zbl0612.35001
- [Hu] W. Hunziker.Distortion analyticity and molecular résonances curves, Ann. I.H.P. section A (1986). Zbl0619.46068MR880742
- [IK1] H. Isozaki, H. Kitada.Modified wave operators with time independent modifiers, J. Fac. Sci. Tokyo Univ. Sect.IA 32 (1985) p.77-104. Zbl0582.35036MR783182
- [IK2] H. Isozaki, H. Kitada.Scattering matrices for two-body Schrôdinger operators, Scientific Papers of the Collège of Arts and Sciences, Tokyo Univ.35 (1985) p.85-107. Zbl0615.35065MR847881
- [Je] A. Jensen.Local distortion technique, resonances and poles of the S-matrix, J. Math. Anal. Appl.59 (1977) p.505-513. Zbl0361.47018MR441153
- [La-Li] L. Landau, E. Lifchitz.Mécanique quantiqueEditions Mir (1967). Zbl0148.43806
- [ST] N. Shenk, D. Thoe.Resonant states and poles of the scattering matrix for perturbations of -Δ, J. Math. Anal. Appl.37 (1972) p.467-491. Zbl0229.35072
- [Si1] B. Simon.The definition of molecular resonance curves by the method of exterior complex scaling, Phys. Lett.71A (1979) p.211-214.
- [Si2] B. Simon.Resonances in N-body quantum systems with dilation analytic potentials and the foundation of time dependent perturbation theory, Ann. Math.97 (1973) p.247-272. Zbl0252.47009MR353896
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