On the spectral and scattering theory of the Schrödinger operator with surface potential

Reviews in Mathematical Physics

Volumn 12, Issue 4, 2000, Pages 561-573

  Chahrour, Ayham ^a   Sahbani, Jaouad ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034409698     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X00000186     Document Type: Article

References (11)

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4. A. Boutet de Monvel and J. Sahbani, "Jacobi matrices with absolutely continuous spectrum", C. R. Acad. Sci. Paris Sér. I Math. 328(5) (1999) 443-448.
5. A. Boutet de Monvel and A. Surkova, "Localisation des états de surface pour une classe d'opérateurs de Schrödinger discrets à potentiels de surface quasi-périodiques", Helv. Phys. Acta. 71 (1998) 459-490.
6. H. L. Cycon, R. G. Froese, W. Kirsch and B. Simon, Schrödinger Operators with Applications to Quantum Mechanics and Global Geometry, Springer, Berlin, 1987.
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8. V. Jaksic and S. Molchanov, On the surface spectrum in dimension two, preprint.
9. V. Jaksic, S. Molchanov and L. Pastur, "On the propagation properties of surface waves", in "Wave propagation in complex media", G. Papanicolaou, IMA Vol. Math. Appl. 96 (1998) 145-154, Springer, New York, 1998.
10. B. Khoruzhenko and L. Pastur, "The localization of surface states: An exactly solvable model", Phys. Reports 288 (1997) 109-126.
11. M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. 3, Scattering Theory, Academic Press, New York, 1979.