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

Jean-Claude Cuenin, Petr Siegl

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)
141 Downloads (Pure)


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
Publication statusEarly online date - 31 Jan 2018


Dive into the research topics of 'Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications'. Together they form a unique fingerprint.

Cite this