Email this article Essential Spectrum of Schrödinger Operators on Periodic Graphs
- Authors: Rabinovich V.S.1
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Affiliations:
- Instituto Politécnico Nacional, ESIME Zacatenco
- Issue: Vol 52, No 1 (2018)
- Pages: 66-69
- Section: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234414
- DOI: https://doi.org/10.1007/s10688-018-0210-y
- ID: 234414
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Abstract
We give a description of the essential spectra of unbounded operators ℋq on L2(Γ) determined by the Schrödinger operators −d2/dx2 + q(x) on the edges of Γ and general vertex conditions. We introduce a set of limit operators of ℋq such that the essential spectrum of ℋq is the union of the spectra of limit operators. We apply this result to describe the essential spectra of the operators ℋq with periodic potentials perturbed by terms slowly oscillating at infinity.
About the authors
V. S. Rabinovich
Instituto Politécnico Nacional, ESIME Zacatenco
Author for correspondence.
Email: vladimir.rabinovich@gmail.com
Mexico, Mexico City, the United Mexican States
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