Structure of the spectrum of a nonselfadjoint Dirac operator

被引：0

作者：

Makin, A. S. ^{[1
]}

机构：

[1] MIREA Russian Technol Univ, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2023年 / 214卷 / 01期

关键词：

Dirac operator; characteristic function; spectrum;

D O I：

10.4213/sm9709e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Dirac operator with two-point boundary conditions and an arbitrary complex-valued L-2-integrable potential V(x) the spectral problem is considered. Necessary and sufficient conditions on an entire function to be the characteristic function of such a boundary value problem are obtained. Necessary and sufficient conditions on the spectrum of the above operator are established in the case when the boundary conditions are regular.

引用

页码：39 / 57

页数：19

共 50 条

[1] Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere
Roohian, H.
Shafarevich, A. I.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2009, 16 (02) : 309 - 314
[2] Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere
H. Roohian
A. I. Shafarevich
Russian Journal of Mathematical Physics, 2009, 16 : 309 - 314
[3] THE DETERMINANT OF THE CHARACTERISTIC FUNCTION AND THE SINGULAR SPECTRUM OF A NONSELFADJOINT OPERATOR
VESELOV, VF
NABOKO, SN
MATHEMATICS OF THE USSR-SBORNIK, 1986, 129 (1-2): : 21 - 41
[4] EXPANSION IN EIGENFUNCTIONS OF A NONSELFADJOINT OPERATOR WITH PURELY CONTINUOUS-SPECTRUM
CHEREMSHANTSEV, SE
MATHEMATICS OF THE USSR-IZVESTIYA, 1988, 52 (01): : 113 - 139
[5] Spectrum of the periodic Dirac operator
Danilov, LI
THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 124 (01) : 859 - 871
[6] The microscopic dirac operator spectrum
Damgaard, PH
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 106 : 29 - 37
[7] Spectrum of the periodic Dirac operator
L. I. Danilov
Theoretical and Mathematical Physics, 2000, 124 : 859 - 871
[8] Remarks on the spectrum of the Dirac operator
Ginoux, N
COMPTES RENDUS MATHEMATIQUE, 2003, 337 (01) : 53 - 56
[9] Dirac operator spectrum on a nilmanifold
Deandrea, Aldo
Dogliotti, Fabio
Tsimpis, Dimitrios
NUCLEAR PHYSICS B, 2022, 982
[10] Surgery and the spectrum of the Dirac operator
Bär, C
Dahl, M
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2002, 552 : 53 - 76

← 1 2 3 4 5 →