Extended States in the Anderson Model on
✍
Abel Klein
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 394 KB
We prove that the Anderson Hamiltonian H \* =&2+\*V on the Bethe lattice has ``extended states'' for small disorder. More precisely, given any closed interval I contained in the interior of the spectrum of the Laplacian on the Bethe lattice, we prove that for small disorder H \* has purely absolutel