메뉴 건너뛰기




Volumn 38, Issue 4, 1998, Pages 595-634

Scattering theory for the perturbations of periodic Schrödinger operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039657420     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518000     Document Type: Article
Times cited : (38)

References (23)
  • 3
    • 0010969691 scopus 로고
    • Scattering for impurities in a crystal
    • F. Bentosela, Scattering for Impurities in a Crystal, Comm. Math. Phys., 46 (1976), 153-166.
    • (1976) Comm. Math. Phys. , vol.46 , pp. 153-166
    • Bentosela, F.1
  • 5
    • 0040056598 scopus 로고
    • Locally smooth operators and the limiting absorption principle for N-body Hamiltonians
    • A. Boutet de Monvel, V. Georgescu and M. Mantoiu, Locally Smooth Operators and the Limiting Absorption Principle for N-Body Hamiltonians, Rev. Math. Phys., 5-1 (1993), 105-189.
    • (1993) Rev. Math. Phys. , vol.5 , Issue.1 , pp. 105-189
    • Boutet De Monvel, A.1    Georgescu, V.2    Mantoiu, M.3
  • 6
    • 0003312241 scopus 로고
    • Fluides parfaits incompressibles
    • Société Mathématique de France
    • J.-Y. Chemin. Fluides parfaits incompressibles, Astérisque 230, Société Mathématique de France, 1995.
    • (1995) Astérisque , vol.230
    • Chemin, J.-Y.1
  • 8
    • 0004069338 scopus 로고    scopus 로고
    • Scattering theory of clonical and quantum N-particle systems
    • Springer-Verlag
    • J. Derezinski and C. Gérard, Scattering theory of clonical and quantum N-particle systems, Texts and Monographs in Physics, Springer-Verlag 1997.
    • (1997) Texts and Monographs in Physics
    • Derezinski, J.1    Gérard, C.2
  • 10
    • 84935421327 scopus 로고
    • A new proof of the Mourre estimate
    • R. Froese and I. Herbst, 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.1    Herbst, I.2
  • 12
    • 17644437865 scopus 로고    scopus 로고
    • The Mourre theory for analytically fibered operators
    • C. Gérard and F. Nier, The Mourre Theory for analytically fibered operators, J. of Funct. Anal. 152 (1) 1998, 202-219.
    • (1998) J. of Funct. Anal. , vol.152 , Issue.1 , pp. 202-219
    • Gérard, C.1    Nier, F.2
  • 13
    • 0003351982 scopus 로고
    • Stratification and flatness
    • P. Holm, editor, Real and Complex Singularities, Sijthoff and Noordhoff, August
    • H. Hironaka, Stratification and Flatness, in P. Holm, editor, Real and Complex Singularities, pages 199-265. Proceedings of the Nordic summer school/NAVF, Sijthoff and Noordhoff, August 1976.
    • (1976) Proceedings of the Nordic Summer School/NAVF , pp. 199-265
    • Hironaka, H.1
  • 16
    • 0000682784 scopus 로고
    • Spectral analysis of N-body schrödinger operators
    • P. Perry, I.M. Sigal and B. Simon, 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
  • 18
    • 0002676380 scopus 로고
    • Long-range many-body scattering: Asymptotic completeness for short-range quantum systems
    • I.M. Sigal and A. Soffer, Long-Range Many-Body Scattering: Asymptotic Completeness for Short-Range Quantum Systems, Ann. of Math., 125 (1987), 35-108.
    • (1987) Ann. of Math. , vol.125 , pp. 35-108
    • Sigal, I.M.1    Soffer, A.2
  • 20
    • 0001883132 scopus 로고
    • Long-range many-body scattering: Asymptotic clustering for coulomb-type potentials
    • I.M. Sigal and A. Soffer, Long-Range Many-Body Scattering: Asymptotic Clustering for Coulomb-Type Potentials, Invent. Math., 99 (1990), 115-143.
    • (1990) Invent. Math. , vol.99 , pp. 115-143
    • Sigal, I.M.1    Soffer, A.2
  • 21
    • 84972573960 scopus 로고
    • Phase space analysis of simple scattering systems: Extension of some work of Enss
    • B. Simon, Phase Space Analysis of Simple Scattering Systems: Extension of some Work of Enss, Duke Math. J., 46 (1979), 119-168.
    • (1979) Duke Math. J. , vol.46 , pp. 119-168
    • Simon, B.1
  • 22
    • 0001967757 scopus 로고
    • Geometric and arithmetic methods in the spectral theory of multi-dimensional periodic operators
    • M.M. Skriganov, Geometric and Arithmetic Methods in the Spectral Theory of Multi-Dimensional Periodic Operators, Proceedings of the Steklov Institute of Mathematics, 2 1987.
    • (1987) Proceedings of the Steklov Institute of Mathematics , vol.2
    • Skriganov, M.M.1
  • 23
    • 0000485145 scopus 로고
    • Time-dependent approach to scattering from impurities in a crystal
    • L.E. Thomas, Time-Dependent Approach to Scattering from Impurities in a Crystal, Comm. Math. Phys., 33 (1973), 335-343.
    • (1973) Comm. Math. Phys. , vol.33 , pp. 335-343
    • Thomas, L.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.