메뉴 건너뛰기




Volumn 30, Issue 10, 2005, Pages 1505-1535

Structure of the semi-classical amplitude for general scattering relations

Author keywords

Scattering amplitude; Scattering relation; Semi classical analysis

Indexed keywords


EID: 27944496139     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605300500299588     Document Type: Article
Times cited : (18)

References (22)
  • 1
    • 42549083917 scopus 로고    scopus 로고
    • Semi-classical wavefront set and Fourier integral operators
    • (Preprint). mathAP.0407460 on arxiv.org. To appear
    • Alexandrova, I. (Preprint). Semi-classical wavefront set and Fourier integral operators. mathAP.0407460 on arxiv.org. To appear in Can. J. Math.
    • Can. J. Math.
    • Alexandrova, I.1
  • 3
    • 0036361205 scopus 로고    scopus 로고
    • Semi-classical estimates for the resolvent in nontrapping geometries
    • Burq, N. (2002). Semi-classical estimates for the resolvent in nontrapping geometries. International Math. Research Notices (5):221-241.
    • (2002) International Math. Research Notices , Issue.5 , pp. 221-241
    • Burq, N.1
  • 5
    • 85024426774 scopus 로고
    • Sojourn times and asymptotic properties of the scattering matrix
    • Guillemin, V. (1977). Sojourn times and asymptotic properties of the scattering matrix. Publ. Research Inst. Math. Sci. Supplement 12:69-88.
    • (1977) Publ. Research Inst. Math. Sci. , Issue.12 SUPPL. , pp. 69-88
    • Guillemin, V.1
  • 7
    • 84980139704 scopus 로고
    • High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering
    • Majda, A. (1976). High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering. Comm. Pure Appl. Math. 29(3):261-291.
    • (1976) Comm. Pure Appl. Math. , vol.29 , Issue.3 , pp. 261-291
    • Majda, A.1
  • 9
    • 0009981270 scopus 로고
    • Sur la rigidité imposée par la longueur des géodésiques
    • Michel, R. (1981). Sur la rigidité imposée par la longueur des géodésiques. Inventiones Math. 65(1):71-83.
    • (1981) Inventiones Math. , vol.65 , Issue.1 , pp. 71-83
    • Michel, R.1
  • 10
    • 0036972446 scopus 로고    scopus 로고
    • Semi-classical limit of the scattering amplitude for trapping perturbations
    • Michel, L. (2002). Semi-classical limit of the scattering amplitude for trapping perturbations. Asymptotic Anal. 32(3-4):221-255.
    • (2002) Asymptotic Anal. , vol.32 , Issue.3-4 , pp. 221-255
    • Michel, L.1
  • 11
    • 3943071036 scopus 로고    scopus 로고
    • Semi-classical behavior of the scattering amplitude for trapping perturbations at fixed energy
    • Michel, L. (2004). Semi-classical behavior of the scattering amplitude for trapping perturbations at fixed energy. Can. J. Math. 56(4):794-824.
    • (2004) Can. J. Math. , vol.56 , Issue.4 , pp. 794-824
    • Michel, L.1
  • 12
    • 0037911614 scopus 로고
    • A problem of reconstructing a Riemannian metric
    • Mukhometov, R. G. (1981). A problem of reconstructing a Riemannian metric. Siberian Math. J. 22(3):420-433.
    • (1981) Siberian Math. J. , vol.22 , Issue.3 , pp. 420-433
    • Mukhometov, R.G.1
  • 13
    • 0003024669 scopus 로고
    • On the problem of finding an isotropic Riemannian metric in an n-dimensional space
    • Mukhometov, R. G., Romanov, V. G. (1978). On the problem of finding an isotropic Riemannian metric in an n-dimensional space. (Russian) Doklady Akademii Nauk SSSR 243(1):41-44.
    • (1978) (Russian) Doklady Akademii Nauk SSSR , vol.243 , Issue.1 , pp. 41-44
    • Mukhometov, R.G.1    Romanov, V.G.2
  • 14
    • 0035537073 scopus 로고    scopus 로고
    • Semi-classical estimates on the scattering determinant
    • Petkov, V., Zworski, M. (2001). Semi-classical estimates on the scattering determinant. Annales Henri Poincaré 2(4):675-711.
    • (2001) Annales Henri Poincaré , vol.2 , Issue.4 , pp. 675-711
    • Petkov, V.1    Zworski, M.2
  • 15
    • 27944467385 scopus 로고
    • Quasiclassical asymptotic behavior of the scattering amplitude of a plane wave on the inhomogeneities of a medium
    • (4): (560)
    • Protas, Y. (1982). Quasiclassical asymptotic behavior of the scattering amplitude of a plane wave on the inhomogeneities of a medium. Mathematics of the USSR - Sbornik 117(159) (4):494-515 (560).
    • (1982) Mathematics of the USSR - Sbornik , vol.117 , Issue.159 , pp. 494-515
    • Protas, Y.1
  • 16
    • 0001199652 scopus 로고
    • Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
    • Robert, D., Tamura, H. (1989). Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Annales de l'Institut Fourier 39(1):155-192.
    • (1989) Annales de L'Institut Fourier , vol.39 , Issue.1 , pp. 155-192
    • Robert, D.1    Tamura, H.2
  • 17
    • 84968505435 scopus 로고
    • Complex scaling and the distribution of scattering poles
    • Sjöstrand, J., Zworski, M. (1991). Complex scaling and the distribution of scattering poles. J. Am. Math. Soc. 4(4):729-769.
    • (1991) J. Am. Math. Soc. , vol.4 , Issue.4 , pp. 729-769
    • Sjöstrand, J.1    Zworski, M.2
  • 18
    • 0036977543 scopus 로고    scopus 로고
    • Estimates on the residue of the scattering matrix
    • Stefanov, P. (2002). Estimates on the residue of the scattering matrix. Asymptotic Anal. 32(3-4):317-333.
    • (2002) Asymptotic Anal. , vol.32 , Issue.3-4 , pp. 317-333
    • Stefanov, P.1
  • 20
    • 0001107841 scopus 로고
    • Quasiclassical approximation in stationary scattering problems
    • Vainberg, B. (1977). Quasiclassical approximation in stationary scattering problems. Functional Anal. Appl. 11(4):6-18.
    • (1977) Functional Anal. Appl. , vol.11 , Issue.4 , pp. 6-18
    • Vainberg, B.1
  • 21
    • 0034349282 scopus 로고    scopus 로고
    • Semiclassical estimates in asymptotically Euclidean scattering
    • Vasy, A., Zworski, M. (2000). Semiclassical estimates in asymptotically Euclidean scattering. Commun. Math. Phys. 212(1):205-217.
    • (2000) Commun. Math. Phys. , vol.212 , Issue.1 , pp. 205-217
    • Vasy, A.1    Zworski, M.2
  • 22
    • 0039421221 scopus 로고
    • 2 approach for short range potentials
    • 2 approach for short range potentials. Japanese J. Math. 13(1):77-126.
    • (1987) Japanese J. Math. , vol.13 , Issue.1 , pp. 77-126
    • Yajima, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.