Straight Quantum Waveguide with Robin Boundary Conditions

被引：8
|
作者：
Jilek, Martin [1 ]
机构：
[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Prague 11519, Czech Republic
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷
关键词：
quantum waveguides; bound states; Robin boundary conditions;
D O I：
10.3842/SIGMA.2007.108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states. Further properties of the associated eigenvalues and eigenfunctions are studied numerically by the mode-matching technique.
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页数：12
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