RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2021 Volume 55, Issue 3, Pages 85–90 (Mi faa3838)

Brief communications

Dirac operators with singular potentials supported on unbounded surfaces in $\mathbb{R}^{3}$

V. S. Rabinovich

Instituto Politecnico Nacional, ESIME–Zacatenco

Abstract: We consider the self-adjointness and essential spectrum of 3D Dirac operators with bounded variable magnetic and electrostatic potentials and with singular delta-type potentials with supports on uniformly regular unbounded surfaces $\Sigma$ in $\mathbb{R}^{3}$.

Keywords: 3D Dirac operators, singular potentials, self-adjointness, essential spectrum.

UDC: 517.95

Received: 26.08.2020
Revised: 26.08.2020
Accepted: 20.10.2020

DOI: 10.4213/faa3838


 English version:
Functional Analysis and Its Applications, 2021, 55:3, 245–249

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025