On the spectral properties of discrete Schrödinger operators: The multi-dimensional case

Reviews in Mathematical Physics

Volumn 11, Issue 9, 1999, Pages 1061-1078

  Boutet De Monvel, Anne ^a   Sahbani, Jaouad ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009184234     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0129055x99000337     Document Type: Article

References (10)

1. 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Birkhäuser, Progress in Math. Ser. 135, Basel 1996.
2. A. Boutet de Monvel, V. Georgescu and J. Sahbani, "Boundary values of resolvent families and propagation properties", C. R. Acad. Sci. Paris Sér. I Math. 322 (1996) 289-294.
3. A. Boutet de Monvel, V. Georgescu and J. Sahbani, "Higher order estimates in the conjugate operator theory", Helv. Phys. Acta 71 (1998) 518-553 & preprint Institut de Mathématiques de Jussieu, no. 59, 1996.
4. A. Boutet de Monvel and J. Sahbani, "On the spectral properties of discrete Schrödinger operators", C. R. Acad. Sci. Paris Sér. I Math. 326 (1998) 1145-1150.
5. A. Kiselev, "Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials", Commun. Math. Phys. 179 (1996) 377-400.
6. S. N. Naboko and S. I. Yakovlev, "On the point spectrum of discrete Schrödinger operator", Func. Analys. Appl. 26 (1992) 145-147.
7. J. Sahbani, "Théorèmes de propagation, Hamiltoniens localement réguliers et applications", PhD thesis, Univ. Paris 7, July 1996.
8. J. Sahbani, "Propagation theorems for some classes of pseudo-differential operators", J. Math. Anal. Appl. 211 (1997) 481-497.
9. J. Sahbani, "The conjugate operator method for locally regular Hamiltonians", J. Operator Theory 38 (1997) 297-322.
10. B. Simon, "Some Jacobi matrices with decaying potential and dense point spectrum", Commun. Math. Phys. 87 (1982) 253-258.