Abstract
We study the distribution of the eigenvalues inside of the essential spectrum for discrete one-dimensional Schrödinger operators with potentials of Coulomb type decay.
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References
Eastham, M. S. P. and Kalf, H.: Schrödinger-type Operators with Continuous Spectra, Pitman, London, 1982.
Kiselev, A., Last, Y. and Simon, B.: Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators, Com.Math.Phys. 194 (1998), 1–45.
Kiselev, A., Remling, C. and Simon, B.: Effective perturbations methods for one-dimensional Schrödinger operators, J.DifferentialEquations 151(2) (1999), 290–312.
Krutikov, D.: On the eigenvalues of the Dirac operator, Math.Notes 67(3) (2000), 398–402.
Naboko, S.: Dense point spectra of Schrödinger and Dirac operators, Theoret.and Math.Phys. 68 (1986), 18–28.
Simon, B.: Some Schrödinger operators with dense point spectrum, Proc.Amer.Math.Soc. 125 (1997), 203–208.
Teschl, G.: Jacobi Operators and Completely Integrable Nonlinear Lattices, Math. Surveys Monogr. 72, Amer. Math. Soc. Providence, 2000.
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Krutikov, D. On Eigenvalues of Discrete Schrödinger Operators with Potentials of Coulomb-Type Decay. Letters in Mathematical Physics 62, 185–192 (2002). https://doi.org/10.1023/A:1022288915280
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DOI: https://doi.org/10.1023/A:1022288915280