Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides
Fedor L. Bakharev
St. Petersburg State University, St. Petersburg, RussiaSergey G. Matveenko
St. Petersburg State University, and National Research University Higher School of Economics, St. Petersburg, RussiaSergei A. Nazarov
St. Petersburg State University and Institute for Problems of Mechanical Engineering, Saint Petersburg, Russia
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.
Cite this article
Fedor L. Bakharev, Sergey G. Matveenko, Sergei A. Nazarov, Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides. Z. Anal. Anwend. 36 (2017), no. 3, pp. 329–341
DOI 10.4171/ZAA/1591