TY - JOUR
T1 - Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
AU - Cuenin, Jean Claude
AU - Siegl, Petr
N1 - Funding Information:
Petr Siegl: On leave from Nuclear Physics Institute CAS, 25068 Rˇ ež, Czechia. The research of Petr Siegl is supported by the Swiss National Science Foundation, SNF Ambizione Grant No. PZ00P2_154786.
Publisher Copyright:
© 2018, Springer Science+Business Media B.V., part of Springer Nature.
PY - 2018/7/1
Y1 - 2018/7/1
N2 - 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.
AB - 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.
KW - Armchair graphene nanoribbons
KW - Birman–Schwinger principle
KW - Complex potential
KW - Damped wave equation
KW - Lieb–Thirring inequalities
KW - Non-self-adjoint Dirac operator
UR - http://www.scopus.com/inward/record.url?scp=85046890356&partnerID=8YFLogxK
U2 - 10.1007/s11005-018-1051-6
DO - 10.1007/s11005-018-1051-6
M3 - Article
AN - SCOPUS:85046890356
SN - 0377-9017
VL - 108
SP - 1757
EP - 1778
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 7
ER -