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Volumn 8, Issue 1, 2003, Pages 547-565

On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators

Author keywords

Periodic operator; Scattering theory; Schr dinger operator; Singular potential

Indexed keywords


EID: 18644386783     PISSN: 14310635     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (10)
  • 1
    • 0038015647 scopus 로고
    • Boundedness conditions and spectrum estimates for the operators b(X)a(D) and their analogs
    • Estimates and asymptotics for discrete spectra of integral and differential equations, Amer. Math. Soc.
    • [BKaS] M. Sh. Birman, G. E. Karadzhov, M. Z. Solomyak, Boundedness conditions and spectrum estimates for the operators b(X)a(D) and their analogs, Estimates and asymptotics for discrete spectra of integral and differential equations, Adv. Soviet. Math., vol. 7, Amer. Math. Soc., 1991, 85-106.
    • (1991) Adv. Soviet. Math. , vol.7 , pp. 85-106
    • Birman, M.Sh.1    Karadzhov, G.E.2    Solomyak, M.Z.3
  • 2
    • 0001267840 scopus 로고
    • On the theory of wave operators and scattering operators
    • [BKr] M. Sh. Birman, M. G. Kreǐn, On the theory of wave operators and scattering operators, Soviet. Math. Dokl. 3 (1962), 740-744.
    • (1962) Soviet. Math. Dokl. , vol.3 , pp. 740-744
    • Birman, M.Sh.1    Kreǐn, M.G.2
  • 3
    • 0000368260 scopus 로고    scopus 로고
    • Absolute continuity of the spectrum of a two-dimensional Schrödinger operator with potential supported on a periodic system of curves
    • [BShSu] M. Sh. Birman, R. G. Shterenberg, T. A. Suslina, Absolute continuity of the spectrum of a two-dimensional Schrödinger operator with potential supported on a periodic system of curves, St. Petersburg Math. J. 12, no. 6 (2001), 983-1012.
    • (2001) St. Petersburg Math. J. , vol.12 , Issue.6 , pp. 983-1012
    • Birman, M.S.1    Shterenberg, R.G.2    Suslina, T.A.3
  • 5
    • 0000527154 scopus 로고
    • Scattering theory for systems with different spatial asymptotics on the left and right
    • [DaSi] E. B. Davies, B. Simon, Scattering Theory for Systems with Different Spatial Asymptotics on the Left and Right, Commun. Math. Phys. 63 (1978), 277-301.
    • (1978) Commun. Math. Phys. , vol.63 , pp. 277-301
    • Davies, E.B.1    Simon, B.2
  • 9
    • 36749109237 scopus 로고
    • Quantum-mechanical scattering by impenetrable periodic surfaces
    • [Sa] A. W. Saenz, Quantum-mechanical scattering by impenetrable periodic surfaces, J. Math. Phys. 22, no. 12 (1981), 2872-2884.
    • (1981) J. Math. Phys. , vol.22 , Issue.12 , pp. 2872-2884
    • Saenz, A.W.1
  • 10
    • 0003330861 scopus 로고
    • Mathematical scattering theory
    • [Ya] D. R. Yafaev, Mathematical Scattering Theory, Amer. Math. Soc., 1992.
    • (1992) Amer. Math. Soc.
    • Yafaev, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.