Cuenin, Jean-Claude; Siegl, Petr (2018). Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. Letters in mathematical physics, 108(7), pp. 1757-1778. Springer 10.1007/s11005-018-1051-6
|
Text
10.1007_s11005-018-1051-6.pdf - Published Version Available under License Publisher holds Copyright. Download (530kB) | Preview |
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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0377-9017 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
16 May 2019 16:47 |
Last Modified: |
05 Dec 2022 15:26 |
Publisher DOI: |
10.1007/s11005-018-1051-6 |
BORIS DOI: |
10.7892/boris.126064 |
URI: |
https://boris.unibe.ch/id/eprint/126064 |
Actions (login required)
 |
Edit item |