EIGENVALUE BOUNDS FOR SCHRoDINGER OPERATORS WITH RANDOM COMPLEX POTENTIALS

被引：0

作者：

Safronoy, Oleg ^{[1
]}

机构：

[1] Univ North Carolina Charlotte, Math & Stat, Charlotte, NC 28223 USA

来源：

ANALYSIS & PDE | 2023年 / 16卷 / 04期

关键词：

Schrodinger operators; complex potentials; eigenvalue bounds; LIEB-THIRRING INEQUALITIES;

D O I：

10.2140/apde.2023.16.1033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Schrodinger operator perturbed by a random complex-valued potential. For this operator, we consider its eigenvalues situated in the unit disk. We obtain an estimate on the rate of accumulation of these eigenvalues to the positive half-line.

引用

页码：1033 / 1060

页数：32

共 26 条

[1] Bounds on complex eigenvalues and resonances
Abramov, AA
Aslanyan, A
Davies, EB
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (01): : 57 - 72
[2] Schrodinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues
Boegli, Sabine
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017, 352 (02) : 629 - 639
[3] A Blaschke-type condition and its application to complex Jacobi matrices
Borichev, A.
Golinskii, L.
Kupin, S.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 117 - 123
[4] Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene
Briet, Philippe
Cuenin, Jean-Claude
Golinskii, Leonid
Kupin, Stanislas
[J]. JOURNAL OF SPECTRAL THEORY, 2021, 11 (03) : 1145 - 1178
[5] Eigenvalue bounds for Dirac and fractional Schrodinger operators with complex potentials
Cuenin, Jean-Claude
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (07) : 2987 - 3018
[6] Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line
Cuenin, Jean-Claude
Laptev, Ari
Tretter, Christiane
[J]. ANNALES HENRI POINCARE, 2014, 15 (04): : 707 - 736
[7] Schrodinger operators with slowly decaying potentials
Davies, EB
Nath, J
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 148 (01) : 1 - 28
[8] Eigenvalue inequalities in terms of schatten norm bounds on differences of semigroups, and application to Schrodinger operators
Demuth, Michael
Katriel, Guy
[J]. ANNALES HENRI POINCARE, 2008, 9 (04): : 817 - 834
[9] On the discrete spectrum of non-selfadjoint operators
Demuth, Michael
Hansmann, Marcel
Katriel, Guy
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (09) : 2742 - 2759
[10] Lieb-Thirring inequalities for Schrodinger operators with complex-valued potentials
Frank, Rupert L.
Laptev, Ari
Lieb, Elliott H.
Seiringer, Robert
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2006, 77 (03) : 309 - 316

← 1 2 3 →