Dirac system with a singularity in an interior point

被引：7

作者：

Gorbunov, Oleg ^{[1
]}

Shieh, Chung-Tsun ^{[2
]}

Yurko, Vjacheslav ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410012, Russia

[2] Tamkang Univ, Dept Math, New Taipei 25137, Taiwan

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

Differential systems; singularity; spectral analysis; ORDER DIFFERENTIAL-OPERATORS; INVERSE EIGENVALUE PROBLEMS;

D O I：

10.1080/00036811.2015.1091069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. Special fundamental systems of solutions are constructed with prescribed analytic and asymptotic properties. Behavior of the corresponding Stokes multipliers is established. These fundamental systems of solutions will be used for studying direct and inverse problems of spectral analysis.

引用

页码：2397 / 2414

页数：18

共 50 条

[1] Anisotropy of Dirac cones and Van Hove singularity in an organic Dirac fermion system
Mori, Ayaka
Sato, Mitsuyuki
Yajima, Takeshi
Konoike, Takako
Uchida, Kazuhito
Osada, Toshihito
[J]. PHYSICAL REVIEW B, 2019, 99 (03)
[2] THE SINGULARITY STATES OF THE SYSTEM OF A CHARGED FERMION AND A DIRAC DYON
LI, XH
WANG, KL
ZHANG, JZ
[J]. PHYSICS LETTERS B, 1984, 148 (1-3) : 89 - 92
[3] Restructuring of the phonon spectra of the MCT and MZT alloy at the Dirac point singularity
Cebulski, J.
Sheregii, E. M.
[J]. 15TH INTERNATIONAL CONFERENCE ON NARROW GAP SYSTEMS (NGS15), 2011, 1416 : 72 - 76
[4] Higher-Order Differential Equations Having a Singularity in an Interior Point
Yurko V.
[J]. Results in Mathematics, 2002, 42 (1-2) : 177 - 191
[5] Inverse problem for dirac system with singularities in interior points
Gorbunov, Oleg
Yurko, Viacheslav
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2016, 6 (01) : 1 - 29
[6] Inverse problem for dirac system with singularities in interior points
Oleg Gorbunov
Viacheslav Yurko
[J]. Analysis and Mathematical Physics, 2016, 6 : 1 - 29
[7] Interior-boundary conditions for the Dirac equation at point sources in three dimensions
Henheik, Joscha
Tumulka, Roderich
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (12)
[8] Singularity structure of the two point function of the free Dirac field on a globally hyperbolic spacetime
Kratzert, K
[J]. ANNALEN DER PHYSIK, 2000, 9 (06) : 475 - 498
[9] INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS ON THE HALF-LINE HAVING A SINGULARITY IN AN INTERIOR POINT
Fedoseev, A.
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (03): : 343 - 354
[10] INVESTIGATION OF A DISCRETE DIRAC SYSTEM WITH AN INTERACTION POINT
Cebesoy, Serifenur
Bairamov, Elgiz
Solmaz, Seyda
[J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 131 - 133

← 1 2 3 4 5 →