Bound states in straight quantum waveguides with combined boundary conditions

Details Bound states in straight quantum waveguides with combined boundary conditions Bound states in straight quantum waveguides with combined boundary conditions

2001-12-11

arxiv.org/abs/math-ph/0112018v1

Physics

Mathematical Physics

24 pages, LaTeX 2e with 4 eps figures

Scientific paper

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.

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