Visual Quantum Mechanics

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Bound state in a quantum waveguide - 1

Here we see two parallel straight quantum waveguides with a window in the common boundary. The walls of the wavegudes (the horizontal white lines) are realized by Dirichlet boundary conditions. This setup supports three bound states. Here we see a superposition of the ground state and the second excited state.

The eigenvalues and eigenfunctions are found numerically by the mode-matching method described in the paper cited below.


P. Exner, P. Seba, M. Tater, D. Vanek
Bound states and scattering in quantum waveguides coupled laterally through a boundary window
Journal-ref: J. Math. Phys. 37 (1996), 4867-4887