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The Density of States Measure of the Weakly Coupled Fibonacci Hamiltonian

✍ Scribed by David Damanik, Anton Gorodetski

Book ID
118777838
Publisher
Springer
Year
2012
Tongue
English
Weight
353 KB
Volume
22
Category
Article
ISSN
1016-443X

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πŸ“œ SIMILAR VOLUMES

The bound states of weakly coupled long-
The bound states of weakly coupled long-range one-dimensional quantum hamiltonians
✍ 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).