Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications

Jean-Claude Cuenin, Petr Siegl

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
150 Downloads (Pure)

Abstract

We analyze eigenvalues emerging from thresholds of the essential spectrum of one-dimensional Dirac operators perturbed by complex and non-symmetric potentials. In the general non-self-adjoint setting, we establish the existence and asymptotics of weakly coupled eigenvalues and Lieb--Thirring inequalities. As physical applications, we investigate the damped wave equation and armchair graphene nanoribbons.
Original languageEnglish
JournalLetters in Mathematical Physics
Early online date31 Jan 2018
DOIs
Publication statusEarly online date - 31 Jan 2018

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