Eigenvalue asymptotics for Dirac-Bessel operators

被引：1

作者：

Hryniv, Rostyslav O. ^{[1
]}

Mykytyuk, Yaroslav V. ^{[2
]}

机构：

[1] Univ Rzeszow, Fac Math & Nat Sci, 1 Pigonia St, PL-35310 Rzeszow, Poland

[2] Lviv Natl Univ, 1 Univ Ska St, UA-79602 Lvov, Ukraine

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 06期

关键词：

INVERSE SPECTRAL PROBLEM; SCHRODINGER-OPERATORS; ZEROS;

D O I：

10.1063/1.4953245

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we establish the eigenvalue asymptotics for non-self-adjoint Dirac-Bessel operators on (0,1) with arbitrary real angular momenta and square integrable potentials, which gives the first step for solution of the related inverse problem. The approach is based on a careful examination of the corresponding characteristic functions and their zero distribution. Published by AIP Publishing.

引用

页数：20

共 50 条

[1] Incomplete inverse spectral problems for Dirac-Bessel operators
Liu, Yu
Shi, Guoliang
Yan, Jun
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (08)
[2] Asymptotics of determinants of Bessel operators
Basor, EL
Ehrhardt, T
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 234 (03) : 491 - 516
[3] Asymptotics of Determinants of Bessel Operators
Estelle L. Basor
Torsten Ehrhardt
[J]. Communications in Mathematical Physics, 2003, 234 : 491 - 516
[4] Eigenvalue asymptotics for weakly perturbed Dirac and Schrodinger operators with constant magnetic fields of full rank
Melgaard, M
Rozenblum, G
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (3-4) : 697 - 736
[5] Eigenvalue asymptotics for differential operators on graphs
Currie, S
Watson, BA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 182 (01) : 13 - 31
[6] On the missing eigenvalue problem for Dirac operators
Wang, Yu Ping
Yurko, V. A.
[J]. APPLIED MATHEMATICS LETTERS, 2018, 80 : 41 - 47
[7] LOWER EIGENVALUE ESTIMATES FOR DIRAC OPERATORS
BAR, C
[J]. MATHEMATISCHE ANNALEN, 1992, 293 (01) : 39 - 46
[8] EIGENVALUE ASYMPTOTICS FOR SCHRODINGER OPERATORS ON SPARSE GRAPHS
Bonnefont, Michel
Golenia, Sylvain
Keller, Matthias
[J]. ANNALES DE L INSTITUT FOURIER, 2015, 65 (05) : 1969 - 1998
[9] NONCLASSICAL EIGENVALUE ASYMPTOTICS FOR OPERATORS OF SCHRODINGER TYPE
GURARIE, D
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 15 (02) : 233 - 237
[10] ON THE EIGENVALUE ASYMPTOTICS OF CERTAIN SCHRODINGER-OPERATORS
CUPALA, W
[J]. STUDIA MATHEMATICA, 1993, 105 (01) : 101 - 104

← 1 2 3 4 5 →