Lifshitz Tails for Quantum Waveguides with Random Boundary Conditions

被引：0
|
作者：
Hatem Najar
机构：
[1] Faculté des Sciences de Monastir,Département de Mathématiques
[2] LAGTS,undefined
[3] Laboratoire Algèbre Géométrie et Théorie Spectrale,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2019年 / 22卷
关键词：
Spectral theory; Random operators; Integrated density of states; Lifshitz tails; Waveguide; 81Q10; 35P05; 37A30; 47F05;
D O I：
暂无
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摘要：
In this study, we consider a quantum waveguide with random boundary conditions . Precisely we consider Laplace operator restricted to a two dimensional straight strip of width d. We consider Dirchilet boundary condition on y = 0, while on y = d we consider mixed, Dirchilet and Neumann boundary condition in a random way. We prove that the integrated density of states of the relevant operator exhibits Lifshitz behavior at the bottom of the spectrum.
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