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Uniform Approximation of the Integrated Density of States for Long-Range Percolation Hamiltonians

✍ Scribed by Fabian Schwarzenberger


Book ID
113072600
Publisher
Springer
Year
2012
Tongue
English
Weight
844 KB
Volume
146
Category
Article
ISSN
0022-4715

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The bound states of weakly coupled long-
✍ R Blankenbecler; M.L Goldberger; B Simon πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 455 KB

We study the small X behavior of the ground state energy, E(h), of the Hamiltonian -(@/dx") + hV(x). In particular, if V(x) N -ax? at infinity and if s V(x)dx -r 0, we prove that (-E(h))1/2 = -[ah + aXgIn A] S&V(x) + 0(X2).