@article{ASENS_2001_4_34_3_313_0, author = {Vasy, Andr\'as}, title = {Propagation of singularities in many-body scattering}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {313--402}, publisher = {Elsevier}, volume = {Ser. 4, 34}, number = {3}, year = {2001}, doi = {10.1016/s0012-9593(01)01066-7}, mrnumber = {1839579}, zbl = {0987.81114}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(01)01066-7/} }
TY - JOUR AU - Vasy, András TI - Propagation of singularities in many-body scattering JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 313 EP - 402 VL - 34 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(01)01066-7/ DO - 10.1016/s0012-9593(01)01066-7 LA - en ID - ASENS_2001_4_34_3_313_0 ER -
%0 Journal Article %A Vasy, András %T Propagation of singularities in many-body scattering %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 313-402 %V 34 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(01)01066-7/ %R 10.1016/s0012-9593(01)01066-7 %G en %F ASENS_2001_4_34_3_313_0
Vasy, András. Propagation of singularities in many-body scattering. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 3, pp. 313-402. doi : 10.1016/s0012-9593(01)01066-7. http://archive.numdam.org/articles/10.1016/s0012-9593(01)01066-7/
[1] Propriétés de la matrice de diffusion, Ann. Inst. Henri Poincaré 59 (1993) 237-267. | Numdam | MR | Zbl
,[2] Asymptotic completeness of long-range N-body quantum systems, Ann. Math. 138 (1993) 427-476. | MR | Zbl
,[3] Scattering Theory of Classical Quantum N-particle Systems, Springer, 1997. | MR | Zbl
, ,[4] Exponential bounds, Comm. Math. Phys. 87 (1982) 429-447. | MR | Zbl
, ,[5] A new proof of the Mourre estimate, Duke Math. J. 49 (1982) 1075-1085. | MR | Zbl
, ,[6] Commutator algebra resolvent estimates, in: Advanced Studies in Pure Mathematics, Vol. 23, 1994, pp. 69-82. | MR
, , ,[7] N-body resolvent estimates, J. Math. Soc. Japan 48 (1996) 135-160. | MR | Zbl
, , ,[8] Asymptotic completeness for N-body short range systems, Comm. Math. Phys. 132 (1990) 73-101. | MR | Zbl
,[9] Symbolic functional calculus, J. Funct. Anal. 173 (2000) 257-283. | MR | Zbl
, ,[10] Helffer B., Sjöstrand J., Équation de Schrödinger avec champ magnétique et équation de Harper. | Zbl
[11] Fourier integral operators, Acta Mathematica 127 (1971) 79-183. | MR | Zbl
,[12] The Analysis of Linear Partial Differential Operators, Vols. 1-4, Springer-Verlag, 1983.
,[13] Spectral and Scattering Theory, Marcel Dekker, 1994. | MR | Zbl
(Ed.),[14] Structures of S-matrices for three body Schrödinger operators, Comm. Math. Phys. 146 (1992) 241-258. | MR | Zbl
,[15] A generalization of the radiation condition of Sommerfeld for N-body Schrödinger operators, Duke Math. J. 74 (1994) 557-584. | MR | Zbl
,[16] A uniqueness theorem for the N-body Schrödinger equation and its applications, in: (Ed.), Spectrial and Scattering Theory, Marcel Dekker, 1994. | MR | Zbl
,[17] Propagation estimates for Schrödinger-type operators, Trans. Amer. Math. Soc. 291 (1) (1985) 129-144. | MR | Zbl
,[18] Propagation des ondes dans les variétés à coins, Ann. Scient. Éc. Norm. Sup. 30 (1997) 429-497. | Numdam | MR | Zbl
,[19] Pseudodifferential operators on manifolds with fibred boundaries, Asian J. Math. 2 (1998). | MR | Zbl
, ,[20] Melrose R.B., Differential analysis on manifolds with corners, In preparation.
[21] Calculus of conormal distributions on manifolds with corners, Internat. Math. Res. Notices 3 (1992) 51-61. | MR | Zbl
,[22] Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces, in: (Ed.), Spectrial and Scattering Theory, Marcel Dekker, 1994. | MR | Zbl
,[23] Singularities of boundary value problems. I, Comm. Pure Appl. Math. 31 (1978) 593-617. | MR | Zbl
, ,[24] Singularities of boundary value problems. II, Comm. Pure Appl. Math. 35 (1982) 129-168. | MR | Zbl
, ,[25] Scattering metrics, Inventiones Math. 124 (1996) 389-436. | MR | Zbl
, ,[26] Absence of singular continuous spectrum of certain self-adjoint operators, Comm. Math. Phys. 78 (1981) 391-408. | MR | Zbl
,[27] Spectral analysis of N-body Schrödinger operators, Ann. Math. 114 (1981) 519-567. | MR | Zbl
, , ,[28] N-particle scattering problem, Ann. Math. 125 (1987) 35-108. | MR | Zbl
, ,[29] Long-range many-body scattering, Inventiones Math. 99 (1990) 115-143. | MR | Zbl
, ,[30] Asymptotic completeness of N≤4-particle systems with the Coulomb-type interactions, Duke Math. J. 71 (1993) 243-298. | Zbl
, ,[31] Asymptotic completeness of N-particle long-range scattering, J. Amer. Math. Soc. 7 (1994) 307-334. | MR | Zbl
, ,[32] Propagation of analytic singularities for second order Dirichlet problems, Comm. PDE 5 (1980) 41-94. | MR | Zbl
,[33] Smoothness of N-body scattering amplitudes, Rev. Math. Phys. 4 (1992) 619-658. | MR | Zbl
,[34] Grazing rays, Comm. Pure Appl. Math. 29 (1976) 1-38. | MR | Zbl
,[35] Asymptotic behavior of generalized eigenfunctions in N-body scattering, J. Funct. Anal. 148 (1997) 170-184. | MR | Zbl
,[36] Propagation of singularities in three-body scattering, Ph.D. Thesis, Massachusetts Institute of Technology, 1997.
,[37] Structure of the resolvent for three-body potentials, Duke Math. J. 90 (1997) 379-434. | MR | Zbl
,[38] Geometric scattering theory for long-range potentials, Int. Math. Res. Notices 1998 (1998) 285-315. | MR | Zbl
,[39] Scattering matrices in many-body scattering, Comm. Math. Phys. 200 (1999) 105-124. | MR | Zbl
,[40] Propagation of singularities in three-body scattering, Astérisque 262 (2000). | Numdam | MR | Zbl
,[41] Microlocal estimates for N-body Schrödinger operators, J. Fac. Sci. Univ. Tokyo Sect. IA, Math. 40 (1993) 337-385. | MR | Zbl
,[42] Radiation conditions, Comm. Math. Phys. 154 (1993) 523-554. | MR | Zbl
,Cité par Sources :