Ambarzumyan Theorems for Dirac Operators

被引：0
|
作者：
Chuan-fu Yang
Feng Wang
Zhen-you Huang
机构：
[1] Nanjing University of Science and Technology,Department of Applied Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2021年 / 37卷
关键词：
inverse spectral problem; Dirac operator; vectorial Sturm-Liouville operator; Ambarzumyan’s theorem; 34L05; 65L09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the inverse eigenvalue problems for stationary Dirac systems with differentiable self-adjoint matrix potential. The theorem of Ambarzumyan for a Sturm-Liouville problem is extended to Dirac operators, which are subject to separation boundary conditions or periodic (semi-periodic) boundary conditions, and some analogs of Ambarzumyan’s theorem are obtained. The proof is based on the existence and extremal properties of the smallest eigenvalue of corresponding vectorial Sturm-Liouville operators, which are the second power of Dirac operators.
引用
收藏
页码：287 / 298
页数：11
相关论文
共 50 条
  • [31] Twisted dirac operators and Kastler-Kalau-Walze theorems for six-dimensional manifolds with boundary
    Wei, Sining
    Wang, Yong
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (14)
  • [32] Lattice calculations on the spectrum of dirac and dirac Kahler operators
    Campos, Rafael G.
    Lopez-Lopez, J. L.
    Vera, R.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (07): : 1029 - 1038
  • [33] Solution of Dirac Equations without Specialization of Dirac Operators
    Sauter, Fritz
    [J]. ZEITSCHRIFT FUR PHYSIK, 1930, 63 (11-12): : 803 - 814
  • [34] HYPERVIRIAL THEOREMS FOR DIRAC-EQUATION
    FRIAR, JL
    NEGELE, JW
    [J]. PHYSICAL REVIEW C, 1976, 13 (03): : 1338 - 1340
  • [35] Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
    Clark, S
    Gesztesy, F
    Renger, W
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 219 (01) : 144 - 182
  • [36] Laplace and Dirac operators on graphs
    Casiday, Beata
    Contreras, Ivan
    Meyer, Thomas
    Mi, Sabrina
    Spingarn, Ethan
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (02): : 325 - 365
  • [37] Dirac operators on coset spaces
    Balachandran, AP
    Immirzi, G
    Lee, J
    Presnajder, P
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (10) : 4713 - 4735
  • [38] Scattering amplitude for Dirac operators
    Brummelhuis, R
    Nourrigat, J
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (1-2) : 377 - 394
  • [39] The construction of Dirac operators on orientifolds
    Kitson, Simon
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2021, 170
  • [40] Reconstruction of radial Dirac operators
    Albeverio, S.
    Hryniv, R.
    Mykytyuk, Ya.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (04)
12345