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On the curvature and torsion effects in waveguides

By: Luis Trabucho de Campos
From: CMAF e Departamento de Matemática, FCT/UNL
At: Complexo Interdisciplinar, Anfiteatro
[2008-05-14] 11:30

When considering Schrodinger’s equation, with an infinite potential at the boundary, for a curved tube or for a thin shell, the wave function turns out to be a solution of an eigenvalue problem for Laplace’s operator. In this work, we study the limit problem as the diameter of the tube’s cross section or the thickness of the shell goes to zero and show the effect of the curvature and of the torsion functions on the energy levels (eigenvalues) and on the wave functions (eigenvectors).