메뉴 건너뛰기




Volumn 56, Issue 4, 2004, Pages 794-824

Semi-classical behavior of the scattering amplitude for trapping perturbations at fixed energy

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3943071036     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2004-036-2     Document Type: Article
Times cited : (15)

References (27)
  • 1
    • 0034349984 scopus 로고    scopus 로고
    • Semiclassical resolvent estimates for trapping perturbations
    • V. Bruneau and V. Petkov, Semiclassical resolvent estimates for trapping perturbations. Comm. Math. Phys. 213(2000), 413-432.
    • (2000) Comm. Math. Phys. , vol.213 , pp. 413-432
    • Bruneau, V.1    Petkov, V.2
  • 2
    • 0036678303 scopus 로고    scopus 로고
    • Lower bounds far shape resonances width of long range Schrödinger operators
    • N. Burq, Lower bounds far shape resonances width of long range Schrödinger operators. Amer. J. Math.124(2002), 677-735.
    • (2002) Amer. J. Math. , vol.124 , pp. 677-735
    • Burq, N.1
  • 4
    • 0002383326 scopus 로고
    • Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes
    • C. Gérard, Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. Mém. Soc. Math. France 31(1988).
    • (1988) Mém. Soc. Math. France , vol.31
    • Gérard, C.1
  • 5
    • 0001716466 scopus 로고
    • Semiclassical resonances generated by a closed trajectory of hyperbolic type
    • C. Gérard and J. Sjöstrand, Semiclassical resonances generated by a closed trajectory of hyperbolic type. Comm. Math. Phys. 108(1987), 391-121.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 391-1121
    • Gérard, C.1    Sjöstrand, J.2
  • 6
    • 0003284894 scopus 로고
    • The analysis of linear partial differential operators I
    • L. Hörmander, The analysis of linear partial differential operators I. Grundlehren Math. Wiss. 256(1983).
    • (1983) Grundlehren Math. Wiss. , vol.256
    • Hörmander, L.1
  • 10
    • 0038828590 scopus 로고    scopus 로고
    • Semiclassical asymptotics of the residues of the scattering matrix for shape resonances
    • A. Lahmar-Benbernou and A. Martinez, Semiclassical asymptotics of the residues of the scattering matrix for shape resonances. Asympt. Anal. 20(1999), 13-38.
    • (1999) Asympt. Anal. , vol.20 , pp. 13-38
    • Lahmar-Benbernou, A.1    Martinez, A.2
  • 13
    • 0036972446 scopus 로고    scopus 로고
    • Semi-classical limit of the scattering amplitude for trapping perturbations
    • L. Michel, Semi-classical limit of the scattering amplitude for trapping perturbations. Asympt. Anal.32(2002), 221-255.
    • (2002) Asympt. Anal. , vol.32 , pp. 221-255
    • Michel, L.1
  • 15
    • 0037453741 scopus 로고    scopus 로고
    • Semi-classical estimate of the residue of the scattering amplitude for long-range potentials
    • _, Semi-classical estimate of the residue of the scattering amplitude for long-range potentials, J. Phys. A 36(2003), 4375-4393.
    • (2003) J. Phys. A , vol.36 , pp. 4375-4393
  • 16
    • 0009368519 scopus 로고
    • Scattering theory for the shape resonance model i. non-resonant energies
    • S. Nakamura, Scattering theory for the shape resonance model i. non-resonant energies. Ann. Inst. H. Poincaré Phys. Théor. 50(1989), 115-131.
    • (1989) Ann. Inst. H. Poincaré Phys. Théor. , vol.50 , pp. 115-131
    • Nakamura, S.1
  • 17
    • 0035537073 scopus 로고    scopus 로고
    • Semiclassical estimate of the scattering determinant
    • V. Petkov and M. Zworski, Semiclassical estimate of the scattering determinant. Ann. Henri Poincaré, 2(2001), 675-711.
    • (2001) Ann. Henri Poincaré , vol.2 , pp. 675-711
    • Petkov, V.1    Zworski, M.2
  • 19
    • 37949024306 scopus 로고
    • Semiclassical estimates for resolvents and asymptotics for total scattering cross-sections
    • D. Robert and H. Tamura, Semiclassical estimates for resolvents and asymptotics for total scattering cross-sections. Ann. Inst. H. Poincaré Phys. Théor. 46(1987), 415-442.
    • (1987) Ann. Inst. H. Poincaré Phys. Théor. , vol.46 , pp. 415-442
    • Robert, D.1    Tamura, H.2
  • 20
    • 0001199652 scopus 로고
    • Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
    • _, Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Ann. Inst. Fourier (Grenoble) 39(1989), 155-192.
    • (1989) Ann. Inst. Fourier (Grenoble) , vol.39 , pp. 155-192
  • 21
    • 0001047998 scopus 로고    scopus 로고
    • A trace formula and review of some estimates for resonances
    • J. Sjöstrand. A trace formula and review of some estimates for resonances. NATO Adv. Sci. Inst. Ser. C 490(1997), 377-437.
    • (1997) NATO Adv. Sci. Inst. Ser. C , vol.490 , pp. 377-437
    • Sjöstrand, J.1
  • 22
    • 84968505435 scopus 로고
    • Complex scaling and the distribution of scattering polet
    • J. Sjöstrand and M.Zworski, Complex scaling and the distribution of scattering polet. J. Amer. Math. Soc. 4(1991), 729-769.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 729-769
    • Sjöstrand, J.1    Zworski, M.2
  • 23
    • 0036977543 scopus 로고    scopus 로고
    • Estimates on the residue of the scattering amplitude
    • P. Stefanov, Estimates on the residue of the scattering amplitude. Asympt. Anal. 32(2002), 317-333.
    • (2002) Asympt. Anal. , vol.32 , pp. 317-333
    • Stefanov, P.1
  • 24
    • 0032219326 scopus 로고    scopus 로고
    • From quasi-modes to resonances
    • S. H. Tang and M. Zworski, From quasi-modes to resonances. Math. Res. Lett. 5(1998), 261-272.
    • (1998) Math. Res. Lett. , vol.5 , pp. 261-272
    • Tang, S.H.1    Zworski, M.2
  • 25
    • 0001107841 scopus 로고
    • Quasi-classical approximation in stationary scattering problems
    • B. R. Vainberg, Quasi-classical approximation in stationary scattering problems. Functional Anal. Appl. 11(1977), 247-257.
    • (1977) Functional Anal. Appl. , vol.11 , pp. 247-257
    • Vainberg, B.R.1
  • 27
    • 0039421221 scopus 로고
    • 2 approach for short range potentials
    • 2 approach for short range potentials. Japan. J. Math. 13(1987), 77-126.
    • (1987) Japan. J. Math. , vol.13 , pp. 77-126
    • Yajima, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.