Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line

被引:10
作者
Enblom, Alexandra [1 ]
机构
[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden
关键词
spectral theory; Dirac operators; non-self-adjoint perturbations; estimation of eigenvalues; COMPLEX-VALUED POTENTIALS; SCHRODINGER-OPERATORS;
D O I
10.1088/1751-8121/aab487
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Estimates for the eigenvalues of non-self-adjoint 1D Dirac operators considered on the half-line are obtained in terms of the L-p-norms of the potentials. The proofs are based on the resolvent estimates established for the free Dirac operator.
引用
收藏
页数:13
相关论文
共 19 条
[1]   Bounds on complex eigenvalues and resonances [J].
Abramov, AA ;
Aslanyan, A ;
Davies, EB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (01) :57-72
[2]   Estimates on Complex Eigenvalues for Dirac Operators on the Half-Line [J].
Cuenin, Jean-Claude .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2014, 79 (03) :377-388
[3]   Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line [J].
Cuenin, Jean-Claude ;
Laptev, Ari ;
Tretter, Christiane .
ANNALES HENRI POINCARE, 2014, 15 (04) :707-736
[4]   ESTIMATES OF EIGENVALUES OF SCHRODINGER OPERATORS ON THE HALF-LINE WITH COMPLEX-VALUED POTENTIALS [J].
Enblom, Alexandra .
OPERATORS AND MATRICES, 2017, 11 (02) :369-380
[5]   Estimates for Eigenvalues of Schrodinger Operators with Complex-Valued Potentials [J].
Enblom, Alexandra .
LETTERS IN MATHEMATICAL PHYSICS, 2016, 106 (02) :197-220
[6]  
Fock Vladimir A., 1978, Fundamentals of quantum mechanics
[7]  
Frank RL, 2011, OPER THEORY ADV APPL, V214, P39
[8]   Eigenvalue bounds for Schrodinger operators with complex potentials [J].
Frank, Rupert L. .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 :745-750
[9]   HOLOMORPHIC FAMILIES OF DIRAC OPERATORS [J].
KATO, T .
MATHEMATISCHE ZEITSCHRIFT, 1983, 183 (03) :399-406
[10]  
Kato T., 1966, Math. Ann, V162, P258, DOI DOI 10.1007/BF01360915