메뉴 건너뛰기




Volumn 34, Issue 3, 2001, Pages 313-402

Propagation of singularities in many-body scattering

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002708910     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(01)01066-7     Document Type: Article
Times cited : (41)

References (42)
  • 1
    • 0040005573 scopus 로고
    • Propriétés de la matrice de diffusion
    • Bommier A. Propriétés de la matrice de diffusion. Ann. Inst. Henri Poincaré 59:1993;237-267.
    • (1993) Ann. Inst. Henri Poincaré , vol.59 , pp. 237-267
    • Bommier, A.1
  • 2
    • 0001132483 scopus 로고
    • Asymptotic completeness of long-range N -body quantum systems
    • Dereziński J. Asymptotic completeness of long-range N -body quantum systems. Ann. Math. 138:1993;427-476.
    • (1993) Ann. Math. , vol.138 , pp. 427-476
    • Dereziński, J.1
  • 5
    • 84935421327 scopus 로고
    • A new proof of the Mourre estimate
    • Froese R.G., Herbst I. A new proof of the Mourre estimate. Duke Math. J. 49:1982;1075-1085.
    • (1982) Duke Math. J. , vol.49 , pp. 1075-1085
    • Froese, R.G.1    Herbst, I.2
  • 8
    • 0011050692 scopus 로고
    • Asymptotic completeness for N -body short range systems
    • Graf G.M. Asymptotic completeness for N -body short range systems. Comm. Math. Phys. 132:1990;73-101.
    • (1990) Comm. Math. Phys. , vol.132 , pp. 73-101
    • Graf, G.M.1
  • 9
    • 0000059859 scopus 로고    scopus 로고
    • Symbolic functional calculus
    • Hassell A., Vasy A. Symbolic functional calculus. J. Funct. Anal. 173:2000;257-283.
    • (2000) J. Funct. Anal. , vol.173 , pp. 257-283
    • Hassell, A.1    Vasy, A.2
  • 11
    • 0002820858 scopus 로고
    • Fourier integral operators
    • Hörmander L. Fourier integral operators. Acta Mathematica. 127:1971;79-183.
    • (1971) Acta Mathematica , vol.127 , pp. 79-183
    • Hörmander, L.1
  • 14
    • 0040207925 scopus 로고
    • Structures of S-matrices for three body Schrödinger operators
    • Isozaki H. Structures of S-matrices for three body Schrödinger operators. Comm. Math. Phys. 146:1992;241-258.
    • (1992) Comm. Math. Phys. , vol.146 , pp. 241-258
    • Isozaki, H.1
  • 15
    • 84973998877 scopus 로고
    • A generalization of the radiation condition of Sommerfeld for N -body Schrödinger operators
    • Isozaki H. A generalization of the radiation condition of Sommerfeld for N -body Schrödinger operators. Duke Math. J. 74:1994;557-584.
    • (1994) Duke Math. J. , vol.74 , pp. 557-584
    • Isozaki, H.1
  • 16
    • 0040598817 scopus 로고
    • A uniqueness theorem for the N -body Schrödinger equation and its applications
    • M. Ikawa. Marcel Dekker
    • Isozaki H. A uniqueness theorem for the N -body Schrödinger equation and its applications. Ikawa M. Spectrial and Scattering Theory. 1994;Marcel Dekker.
    • (1994) Spectrial and Scattering Theory
    • Isozaki, H.1
  • 17
    • 84967774565 scopus 로고
    • Propagation estimates for Schrödinger-type operators
    • Jensen A. Propagation estimates for Schrödinger-type operators. Trans. Amer. Math. Soc. 291:(1):1985;129-144.
    • (1985) Trans. Amer. Math. Soc. , vol.291 , Issue.1 , pp. 129-144
    • Jensen, A.1
  • 18
    • 0031521461 scopus 로고    scopus 로고
    • Propagation des ondes dans les variétés à coins
    • Lebeau G. Propagation des ondes dans les variétés à coins. Ann. Scient. Éc. Norm. Sup. 30:1997;429-497.
    • (1997) Ann. Scient. Éc. Norm. Sup. , vol.30 , pp. 429-497
    • Lebeau, G.1
  • 19
    • 0000198632 scopus 로고    scopus 로고
    • Pseudodifferential operators on manifolds with fibred boundaries
    • Mazzeo R., Melrose R.B. Pseudodifferential operators on manifolds with fibred boundaries. Asian J. Math. 2:1998.
    • (1998) Asian J. Math. , vol.2
    • Mazzeo, R.1    Melrose, R.B.2
  • 21
    • 84963028464 scopus 로고
    • Calculus of conormal distributions on manifolds with corners
    • Melrose R.B. Calculus of conormal distributions on manifolds with corners. Internat. Math. Res. Notices. 3:1992;51-61.
    • (1992) Internat. Math. Res. Notices , vol.3 , pp. 51-61
    • Melrose, R.B.1
  • 22
    • 0002058225 scopus 로고
    • Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces
    • M. Ikawa. Marcel Dekker
    • Melrose R.B. Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces. Ikawa M. Spectrial and Scattering Theory. 1994;Marcel Dekker.
    • (1994) Spectrial and Scattering Theory
    • Melrose, R.B.1
  • 23
  • 24
    • 84980143702 scopus 로고
    • Singularities of boundary value problems. II
    • Melrose R.B., Sjöstrand J. Singularities of boundary value problems. II. Comm. Pure Appl. Math. 35:1982;129-168.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 129-168
    • Melrose, R.B.1    Sjöstrand, J.2
  • 26
    • 33846062287 scopus 로고
    • Absence of singular continuous spectrum of certain self-adjoint operators
    • Mourre E. Absence of singular continuous spectrum of certain self-adjoint operators. Comm. Math. Phys. 78:1981;391-408.
    • (1981) Comm. Math. Phys. , vol.78 , pp. 391-408
    • Mourre, E.1
  • 27
    • 0000682784 scopus 로고
    • Spectral analysis of N -body Schrödinger operators
    • Perry P., Sigal I.M., Simon B. Spectral analysis of N -body Schrödinger operators. Ann. Math. 114:1981;519-567.
    • (1981) Ann. Math. , vol.114 , pp. 519-567
    • Perry, P.1    Sigal, I.M.2    Simon, B.3
  • 28
    • 0002676380 scopus 로고
    • N -particle scattering problem
    • Sigal I.M., Soffer A. N -particle scattering problem. Ann. Math. 125:1987;35-108.
    • (1987) Ann. Math. , vol.125 , pp. 35-108
    • Sigal, I.M.1    Soffer, A.2
  • 29
    • 0001883132 scopus 로고
    • Long-range many-body scattering
    • Sigal I.M., Soffer A. Long-range many-body scattering. Inventiones Math. 99:1990;115-143.
    • (1990) Inventiones Math. , vol.99 , pp. 115-143
    • Sigal, I.M.1    Soffer, A.2
  • 30
    • 84973997428 scopus 로고
    • Asymptotic completeness of N≤4 -particle systems with the Coulomb-type interactions
    • Sigal I.M., Soffer A. Asymptotic completeness of N≤4 -particle systems with the Coulomb-type interactions. Duke Math. J. 71:1993;243-298.
    • (1993) Duke Math. J. , vol.71 , pp. 243-298
    • Sigal, I.M.1    Soffer, A.2
  • 31
    • 84968516174 scopus 로고
    • Asymptotic completeness of N -particle long-range scattering
    • Sigal I.M., Soffer A. Asymptotic completeness of N -particle long-range scattering. J. Amer. Math. Soc. 7:1994;307-334.
    • (1994) J. Amer. Math. Soc. , vol.7 , pp. 307-334
    • Sigal, I.M.1    Soffer, A.2
  • 32
    • 0002879567 scopus 로고
    • Propagation of analytic singularities for second order Dirichlet problems
    • Sjöstrand J. Propagation of analytic singularities for second order Dirichlet problems. Comm. PDE. 5:1980;41-94.
    • (1980) Comm. PDE , vol.5 , pp. 41-94
    • Sjöstrand, J.1
  • 33
    • 0001270834 scopus 로고
    • Smoothness of N -body scattering amplitudes
    • Skibsted E. Smoothness of N -body scattering amplitudes. Rev. Math. Phys. 4:1992;619-658.
    • (1992) Rev. Math. Phys. , vol.4 , pp. 619-658
    • Skibsted, E.1
  • 35
    • 0031209368 scopus 로고    scopus 로고
    • Asymptotic behavior of generalized eigenfunctions in N -body scattering
    • Vasy A. Asymptotic behavior of generalized eigenfunctions in N -body scattering. J. Funct. Anal. 148:1997;170-184.
    • (1997) J. Funct. Anal. , vol.148 , pp. 170-184
    • Vasy, A.1
  • 37
    • 0001765735 scopus 로고    scopus 로고
    • Structure of the resolvent for three-body potentials
    • Vasy A. Structure of the resolvent for three-body potentials. Duke Math. J. 90:1997;379-434.
    • (1997) Duke Math. J. , vol.90 , pp. 379-434
    • Vasy, A.1
  • 38
    • 0002871773 scopus 로고    scopus 로고
    • Geometric scattering theory for long-range potentials
    • Vasy A. Geometric scattering theory for long-range potentials. Int. Math. Res. Notices. 1998:1998;285-315.
    • (1998) Int. Math. Res. Notices , vol.1998 , pp. 285-315
    • Vasy, A.1
  • 39
    • 0033248338 scopus 로고    scopus 로고
    • Scattering matrices in many-body scattering
    • Vasy A. Scattering matrices in many-body scattering. Comm. Math. Phys. 200:1999;105-124.
    • (1999) Comm. Math. Phys. , vol.200 , pp. 105-124
    • Vasy, A.1
  • 40
    • 0003311730 scopus 로고    scopus 로고
    • Propagation of singularities in three-body scattering
    • Vasy A. Propagation of singularities in three-body scattering. Astérisque. 262:2000.
    • (2000) Astérisque , vol.262
    • Vasy, A.1
  • 41
    • 0001254294 scopus 로고
    • Microlocal estimates for N -body Schrödinger operators
    • Wang X.P. Microlocal estimates for N -body Schrödinger operators. J. Fac. Sci. Univ. Tokyo Sect. IA, Math. 40:1993;337-385.
    • (1993) J. Fac. Sci. Univ. Tokyo Sect. IA, Math. , vol.40 , pp. 337-385
    • Wang, X.P.1
  • 42
    • 34250081825 scopus 로고
    • Radiation conditions
    • Yafaev D. Radiation conditions. Comm. Math. Phys. 154:1993;523-554.
    • (1993) Comm. Math. Phys. , vol.154 , pp. 523-554
    • Yafaev, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.