Bound states in straight quantum waveguides with combined boundary conditions
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional straight strip. We impose the combined Dirichlet and Neumann boundary conditions on different parts of the boundary. Several statements on the existence or the absence of the discrete spectrum are proven for two models with combined boundary conditions. Examples of eigenfunctions and eigenvalues are computed numerically.
Keywords
Cite
@article{arxiv.math-ph/0112018,
title = {Bound states in straight quantum waveguides with combined boundary conditions},
author = {Jaroslav Dittrich and Jan Kriz},
journal= {arXiv preprint arXiv:math-ph/0112018},
year = {2015}
}
Comments
24 pages, LaTeX 2e with 4 eps figures