Asymptotics of the discrete spectrum for a radial Schrödinger operator with nearly Coulomb potential
✍ Scribed by Marianna A. Shubov
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1991
- Tongue
- English
- Weight
- 866 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
We study resonances for a three-dimensional Schrödinger operator with Coulomb potential perturbed by a spherically symmetric compactly supported function. Resonances are defined as poles of an analytical continuation of the resolvent to the second Riemann sheet through the continuous spectrum. It is
## Abstract We show that when a potential __b~n~__ of a discrete Schrödinger operator, defined on __l__^2^(ℤ^+^), slowly oscillates satisfying the conditions __b~n~__ ∈ __l__^∞^ and ∂__b~n~__ = __b__~__n__ +1~ – __b~n~__ ∈ __l^p^__, __p__ < 2, then all solutions of the equation __Ju__ = __Eu__ are