On the Spectra of One-Dimensional Schrödinger Operators With Singular Potentials

On the Spectra of One-Dimensional Schrödinger Operators With Singular Potentials

The paper is devoted to the spectral properties of one-dimensional Schrödinger operators (1)Squ(x)=(-d2dx2+q(x))u(x),    x∈ℝ, with potentials q = q0+qs, where q0∈L∞(ℝ) is a regular potential, and qs∈D′(ℝ) is a singular potential with support on a discrete infinite set Y⊂ℝ. We consider the extension...

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Bibliographic Details
Main Authors: Vladimir S. Rabinovich, Víctor Barrera-Figueroa, Leticia Olivera Ramírez
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-04-01
Series:Frontiers in Physics
Subjects:
periodic Schrödinger operators
limit operators method
spectral parameter power series (SPPS) method
dispersion equation
monodromy matrices
slowly oscillating at infinity perturbation
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00057/full

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https://www.frontiersin.org/article/10.3389/fphy.2019.00057/full

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