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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2018 Volume 196, Number 1, Pages 64–69 (Mi tmf9521)

This article is cited in 4 papers

Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene

A. A. Tolchennikovab

a Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia

Abstract: We construct exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene with a small potential.

Keywords: massless Dirac equation for graphene, exact solution, creation operator.

PACS: 03.65.Sq

MSC: 34E99

Received: 14.12.2017
Revised: 02.02.2018

DOI: 10.4213/tmf9521


 English version:
Theoretical and Mathematical Physics, 2018, 196:1, 996–1001

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© Steklov Math. Inst. of RAS, 2026