Absolute continuity of the spectrum for periodically modulated leaky wires in R-3

Exner P; Frank RL

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Absolute continuity of the spectrum for periodically modulated leaky wires in R-3

机译：R-3中周期性调制的泄漏导线的频谱的绝对连续性

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We consider a model of leaky quantum wires in three dimensions. The Hamiltonian is a singular perturbation of the Laplacian supported by a line with the coupling which is bounded and periodically modulated along the line. We demonstrate that such a system has a purely absolutely continuous spectrum and its negative part has band structure with an at most finite number of gaps. This result is extended also to the situation when there is an infinite number of the lines supporting the perturbations arranged periodically in one direction.

机译：我们考虑三维泄漏量子线的模型。哈密顿量是拉普拉斯算子的奇异摄动，该拉普拉斯算子由带有耦合的线支撑，该耦合是有界的，并沿该线周期性地进行调制。我们证明了这样一个系统具有纯粹的绝对连续光谱，其负部分具有带隙最多为有限数量的能带结构。该结果还扩展到当无限多的线支撑在一个方向上周期性地排列的扰动时的情况。

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来源
《Annales Henri Poincare》 |2007年第2期|共23页
作者
Exner P; Frank RL;
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正文语种 eng
中图分类高等数学;
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OPERATORS; CURVE;

机译：运算符;曲线;

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1. Absolute continuity of the spectrum for periodically modulated leaky wires in R-3 [J] . Exner P, Frank RL Annales Henri Poincare . 2007,第2期

机译：R-3中周期性调制的泄漏导线的频谱的绝对连续性
2. Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in ${mathbb{R}^{3}}$ [J] . Pavel Exner, Rupert L. Frank Annales Henri Poincaré . 2007,第2期

机译：$ {mathbb {R} ^ {3}} $中的周期性调制泄漏线频谱的绝对连续性
3. Absolute continuity in periodic thin tubes and strongly coupled leaky wires [J] . Bentosela F., Duclos P., Exner P. Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 2003,第1期

机译：周期性细管和强耦合泄漏导线中的绝对连续性
4. Leaky-wave radiation from periodically modulated spoof surface plasmon polaritons [C] . Zhixia Xu, Xin Zhang, Shunli Li, IEEE Asia-Pacific conference on antennas and propagation . 2017

机译：周期性调制的欺骗性表面等离子体激元极化子的泄漏波辐射
5. Absolute Continuity of Parabolic Measure and The Initial-Dirichlet Problem [D] . Genschaw, Alyssa. 2019

机译：抛物线措施的绝对连续性和初始dirichlet问题
6. Continuous leaky-wave scanning using periodically modulated spoof plasmonic waveguide [O] . Gu Sheng Kong, Hui Feng Ma, Ben Geng Cai, -1

机译：使用周期性调制的欺骗性等离激元波导进行连续泄漏波扫描
7. Absolute continuity of the spectrum for periodically modulated leaky wires in $\mathbb{R}^3$ [O] . Exner, Pavel, Frank, Rupert L. 2005

机译：周期性调制泄漏的频谱的绝对连续性电线在$ \ mathbb {R} ^ 3 $
8. Acoustic-Phonon Limited Mobility in Periodically Modulated Quantum Wires [R] . Stocker, J. E., Leburton, J. P., Noguchi, H., 1994

机译：周期调制量子线中的声学声子限制迁移率

Absolute continuity of the spectrum for periodically modulated leaky wires in R-3

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