V. S. Rabinovich, “Essential spectrum of one-dimensional Dirac operators with delta-interactions”, Funktsional. Anal. i Prilozhen., 2020, Volume 54, Issue 2,Pages <nobr>90

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Brief communications

Essential spectrum of one-dimensional Dirac operators with delta-interactions

V. S. Rabinovich

Instituto Politecnico Nacional, ESIME–Zacatenco

Abstract: We describe the location of the essential spectrum of one-dimensional Dirac operators with singular potentials supported on discrete sets in $\mathbb{R}$ in terms of limit operators.

Keywords: Dirac operators, point interactions, self-adjointness, essential spectrum.

UDC: 517.95

MSC: 34L40,47E05,47B25,81Q10

Received: 24.09.2019
Revised: 01.03.2020
Accepted: 18.03.2020

DOI: 10.4213/faa3731