Standard
Dislocation problem for the Dirac operator. / Korotyaev, Evgeny L.; Mokeev, Dmitrii S.
Proceedings of the International Conference on Days on Diffraction 2019, DD 2019. ed. / Oleg V. Motygin; Aleksei P. Kiselev; Leonid I. Goray; A.A. Fedotov; A.Ya. Kazakov; Anna S. Kirpichnikova. Institute of Electrical and Electronics Engineers Inc., 2019. p. 94-98 9016424 (Proceedings of the International Conference on Days on Diffraction 2019, DD 2019).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Korotyaev, EL & Mokeev, DS 2019,
Dislocation problem for the Dirac operator. in OV Motygin, AP Kiselev, LI Goray, AA Fedotov, AY Kazakov & AS Kirpichnikova (eds),
Proceedings of the International Conference on Days on Diffraction 2019, DD 2019., 9016424, Proceedings of the International Conference on Days on Diffraction 2019, DD 2019, Institute of Electrical and Electronics Engineers Inc., pp. 94-98, 2019 International Conference on Days on Diffraction, DD 2019, St. Petersburg, Russian Federation,
3/06/19.
https://doi.org/10.1109/DD46733.2019.9016424
APA
Korotyaev, E. L., & Mokeev, D. S. (2019).
Dislocation problem for the Dirac operator. In O. V. Motygin, A. P. Kiselev, L. I. Goray, A. A. Fedotov, A. Y. Kazakov, & A. S. Kirpichnikova (Eds.),
Proceedings of the International Conference on Days on Diffraction 2019, DD 2019 (pp. 94-98). [9016424] (Proceedings of the International Conference on Days on Diffraction 2019, DD 2019). Institute of Electrical and Electronics Engineers Inc..
https://doi.org/10.1109/DD46733.2019.9016424
Vancouver
Korotyaev EL, Mokeev DS.
Dislocation problem for the Dirac operator. In Motygin OV, Kiselev AP, Goray LI, Fedotov AA, Kazakov AY, Kirpichnikova AS, editors, Proceedings of the International Conference on Days on Diffraction 2019, DD 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 94-98. 9016424. (Proceedings of the International Conference on Days on Diffraction 2019, DD 2019).
https://doi.org/10.1109/DD46733.2019.9016424
Author
Korotyaev, Evgeny L. ; Mokeev, Dmitrii S. /
Dislocation problem for the Dirac operator. Proceedings of the International Conference on Days on Diffraction 2019, DD 2019. editor / Oleg V. Motygin ; Aleksei P. Kiselev ; Leonid I. Goray ; A.A. Fedotov ; A.Ya. Kazakov ; Anna S. Kirpichnikova. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 94-98 (Proceedings of the International Conference on Days on Diffraction 2019, DD 2019).
BibTeX
@inproceedings{5ab91636d6154b419b44c54d44a2fca4,
title = "Dislocation problem for the Dirac operator",
abstract = "We consider the dislocation problem for the Dirac operator with a periodic potential on the real line. The dislocation is parameterized by a real parameter. For each parameter value, the absolutely continuous spectrum has a band structure and there are open gaps between spectral bands. We show that in each open gap there exist exactly two distinct 'states' (eigenvalues or resonances) of the dislocated operator, such that they runs clockwise around the gap. These states are separated from each other by the Dirichlet eigenvalue and they make half as many revolutions as the Dirichlet eigenvalue does in unit time. We find asymptotic of this motion for the cases when a state is near the gaps boundary and collides with the Dirichlet eigenvalue.",
author = "Korotyaev, {Evgeny L.} and Mokeev, {Dmitrii S.}",
year = "2019",
month = jun,
doi = "10.1109/DD46733.2019.9016424",
language = "English",
series = "Proceedings of the International Conference on Days on Diffraction 2019, DD 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "94--98",
editor = "Motygin, {Oleg V.} and Kiselev, {Aleksei P.} and Goray, {Leonid I.} and A.A. Fedotov and A.Ya. Kazakov and Kirpichnikova, {Anna S.}",
booktitle = "Proceedings of the International Conference on Days on Diffraction 2019, DD 2019",
address = "United States",
note = "2019 International Conference on Days on Diffraction, DD 2019 ; Conference date: 03-06-2019 Through 07-06-2019",
url = "http://www.pdmi.ras.ru/~dd/download/DD19_program.pdf",
}
RIS
TY - GEN
T1 - Dislocation problem for the Dirac operator
AU - Korotyaev, Evgeny L.
AU - Mokeev, Dmitrii S.
PY - 2019/6
Y1 - 2019/6
N2 - We consider the dislocation problem for the Dirac operator with a periodic potential on the real line. The dislocation is parameterized by a real parameter. For each parameter value, the absolutely continuous spectrum has a band structure and there are open gaps between spectral bands. We show that in each open gap there exist exactly two distinct 'states' (eigenvalues or resonances) of the dislocated operator, such that they runs clockwise around the gap. These states are separated from each other by the Dirichlet eigenvalue and they make half as many revolutions as the Dirichlet eigenvalue does in unit time. We find asymptotic of this motion for the cases when a state is near the gaps boundary and collides with the Dirichlet eigenvalue.
AB - We consider the dislocation problem for the Dirac operator with a periodic potential on the real line. The dislocation is parameterized by a real parameter. For each parameter value, the absolutely continuous spectrum has a band structure and there are open gaps between spectral bands. We show that in each open gap there exist exactly two distinct 'states' (eigenvalues or resonances) of the dislocated operator, such that they runs clockwise around the gap. These states are separated from each other by the Dirichlet eigenvalue and they make half as many revolutions as the Dirichlet eigenvalue does in unit time. We find asymptotic of this motion for the cases when a state is near the gaps boundary and collides with the Dirichlet eigenvalue.
UR - http://www.scopus.com/inward/record.url?scp=85082301796&partnerID=8YFLogxK
U2 - 10.1109/DD46733.2019.9016424
DO - 10.1109/DD46733.2019.9016424
M3 - Conference contribution
T3 - Proceedings of the International Conference on Days on Diffraction 2019, DD 2019
SP - 94
EP - 98
BT - Proceedings of the International Conference on Days on Diffraction 2019, DD 2019
A2 - Motygin, Oleg V.
A2 - Kiselev, Aleksei P.
A2 - Goray, Leonid I.
A2 - Fedotov, A.A.
A2 - Kazakov, A.Ya.
A2 - Kirpichnikova, Anna S.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2019 International Conference on Days on Diffraction, DD 2019
Y2 - 3 June 2019 through 7 June 2019
ER -
