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

Jean Claude Cuenin*, Petr Siegl

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Pages (from-to)1757-1778
Number of pages22
JournalLetters in Mathematical Physics
Issue number7
Publication statusPublished - 1 Jul 2018
Externally publishedYes


  • Armchair graphene nanoribbons
  • Birman–Schwinger principle
  • Complex potential
  • Damped wave equation
  • Lieb–Thirring inequalities
  • Non-self-adjoint Dirac operator

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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