Point Spectrum and SULE for Time-Periodic Perturbations of Discrete 1D Schrödinger Operators with Electric Fields

被引：0

作者：

César R. de Oliveira

Mariane Pigossi

机构：

[1] UFSCar,Departamento de Matemática

来源：

Journal of Statistical Physics | 2018年 / 173卷

关键词：

Dynamical localization; Pure point spectrum; Discrete Schrödinger operators; Electric fields; KAM technique; 47B39; 47N50; 81Q15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use the KAM technique to present a proof of pure point spectrum for the quasi-energy operator and a version of the SULE condition for suitable small time-periodic perturbations of discrete one-dimensional Schrödinger operators with uniform electric fields.

引用

页码：140 / 162

页数：22

共 24 条

[1] Point Spectrum and SULE for Time-Periodic Perturbations of Discrete 1D Schrodinger Operators with Electric Fields
de Oliveira, Cesar R.
Pigossi, Mariane
JOURNAL OF STATISTICAL PHYSICS, 2018, 173 (01) : 140 - 162
[2] Proof of dynamical localization for perturbations of discrete 1D Schrödinger operators with uniform electric fields
César R. de Oliveira
Mariane Pigossi
Mathematische Zeitschrift, 2019, 291 : 1525 - 1541
[3] Proof of dynamical localization for perturbations of discrete 1D Schrodinger operators with uniform electric fields
de Oliveira, Cesar R.
Pigossi, Mariane
MATHEMATISCHE ZEITSCHRIFT, 2019, 291 (3-4) : 1525 - 1541
[4] Inverse Problem for the Discrete 1D Schrödinger Operator with Small Periodic Potentials
Evgeny Korotyaev
Anton Kutsenko
Communications in Mathematical Physics, 2006, 261 : 673 - 692
[5] Fluctuation of Density of States for 1d Schrödinger Operators
Fumihiko Nakano
Journal of Statistical Physics, 2017, 166 : 1393 - 1404
[6] Time Quasi-Periodic Unbounded Perturbations¶of Schrödinger Operators and KAM Methods
Dario Bambusi
Sandro Graffi
Communications in Mathematical Physics, 2001, 219 : 465 - 480
[7] Criteria for Discrete Spectrum of 1D Operators
Chen, Mu-Fa
COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2014, 2 (3-4) : 279 - 309
[8] A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation
Buyang Li
Yifei Wu
Numerische Mathematik, 2021, 149 : 151 - 183
[9] Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance
Li, Yongming
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (08)
[10] On the Spectrum¶of Two-Dimensional Schrödinger Operators¶with Spherically Symmetric, Radially Periodic¶Magnetic Fields
Georg Hoever
Communications in Mathematical Physics, 1997, 189 : 879 - 890

← 1 2 3 →