A Mourre estimate for a Schrödinger operator on a binary tree

Reviews in Mathematical Physics

Volumn 12, Issue 12, 2000, Pages 1655-1667

  Allard, C ^a   Froese, R ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034555445     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X00000575     Document Type: Article

References (7)

1. H. L. Cycon, R. G. Proese, W. Kirsch and B. Simon, Schrödinger Operators, Texts and Monographs in Physics, Springer, 1987.
2. C. Allard, "Asymptotic Completeness via Mourre Theory for a Schrödinger Operator on a Binary Tree Graph", Master's thesis, University of British Columbia, April 1997.
3. V. Georgescu and G. Gérard, "On the virial theorem in quantum mechanics", Preprint.
4. A. Klein, "Extended states in the Anderson model on the Bethe lattice", Adv. Math. 133(1) (1998) 163-184.
5. R. G. Froese and P. Hislop, "Spectral analysis of second order elliptic operators on noncompact manifolds", Duke Math. J. 58(1) (1989) 103-129.
6. A. Boutet de Monvel and J. Sahbani, "On the spectral properties of discrete Schrödinger operators", to appear in Rev. Math. Phys.
7. A. Boutet de Monvel and J. Sahbani, "On the spectral properties of discrete Schrödinger operators", C. R. Acad. Sci. Paris Sér. I Math. 326cd(9) (1998) 1145-1150.