Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides
Spectral Theory
2016-04-20 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1604.05564,
title = {Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides},
author = {F. L. Bakharev and S. G. Matveenko and S. A. Nazarov},
journal= {arXiv preprint arXiv:1604.05564},
year = {2016}
}
Comments
10 pages, 4 figures