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Non-random perturbations of the Anderson Hamiltonian | | S. Molchanov
; B. Vainberg
; | | Date: |
23 Feb 2010 | | Abstract: | The Anderson Hamiltonian $H_0=-Delta+V(x,omega)$ is considered, where $V$
is a random potential of Bernoulli type. The operator $H_0$ is perturbed by a
non-random, continuous potential $-w(x) leq 0$, decaying at infinity. It will
be shown that the borderline between finitely, and infinitely many negative
eigenvalues of the perturbed operator, is achieved with a decay of
$O(ln^{-2/d} |x|)$. | | Source: | arXiv, 1002.4220 | | Services: | Forum | Review | PDF | Favorites | |
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