Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides

被引：7

作者：

Bakharev, Fedor L. ^{[1
]}

Matveenko, Sergey G. ^{[2
,3
]}

Nazarov, Sergey A. ^{[1
,4
,5
]}

机构：

[1] St Petersburg State Univ, Math & Mech Fac, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

[2] St Petersburg State Univ, Chebyshev Lab, 14th Line VO,29B, St Petersburg 199178, Russia

[3] Natl Res Univ, Higher Sch Econ, Kantemirovskaya St 3A,Off 417, St Petersburg 194100, Russia

[4] St Petersburg State Polytech Univ, Polytechnicheskaya Ul 29, St Petersburg 195251, Russia

[5] RAS, Inst Problems Mech Engn, VO,Bolshoj Pr 61, St Petersburg 199178, Russia

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2017年 / 36卷 / 03期

关键词：

Cruciform waveguide; multiplicity of discrete spectrum; asymptotics; localization of eigenfunctions; thin quantum lattices; ASYMPTOTIC EXPANSIONS; BOUND-STATES; EIGENFUNCTIONS; EIGENVALUES; MODES;

D O I：

10.4171/ZAA/1591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spatial cruciform quantum waveguides (the Dirichlet problem for Laplace operator) are constructed such that the total multiplicity of the discrete spectrum exceeds any preassigned number.

引用

页码：329 / 341

页数：13

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